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Finding the Fourth Proportional to 650,487.70, 975,731.55 and 414,000.10

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Solution

The fourth proportional to 650,487.70, 975,731.55 and 414,000.10 is: 621,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,487.70 : 975,731.55 = 414,000.10 : x
  2. Step 2: Convert to fraction form
    650,487.70/975,731.55 = 414,000.10/x
  3. Step 3: Cross multiply
    650,487.70x = 975,731.55 × 414,000.10
  4. Step 4: Simplify right side
    650,487.70x = 403,952,959,273.16
  5. Step 5: Solve for x
    x = 403,952,959,273.16/650,487.70
  6. Step 6: Final answer
    x = 621,000.15

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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.