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Finding the Fourth Proportional to 631,314,000.30, 946,971,000.45 and 517,939,920.30

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Solution

The fourth proportional to 631,314,000.30, 946,971,000.45 and 517,939,920.30 is: 776,909,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,314,000.30 : 946,971,000.45 = 517,939,920.30 : x
  2. Step 2: Convert to fraction form
    631,314,000.30/946,971,000.45 = 517,939,920.30/x
  3. Step 3: Cross multiply
    631,314,000.30x = 946,971,000.45 × 517,939,920.30
  4. Step 4: Simplify right side
    631,314,000.30x = 490,474,084,499,484,288
  5. Step 5: Solve for x
    x = 490,474,084,499,484,288/631,314,000.30
  6. Step 6: Final answer
    x = 776,909,880.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.