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Finding the Fourth Proportional to 522,084.30, 783,126.45 and 312,132.30

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Solution

The fourth proportional to 522,084.30, 783,126.45 and 312,132.30 is: 468,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,084.30 : 783,126.45 = 312,132.30 : x
  2. Step 2: Convert to fraction form
    522,084.30/783,126.45 = 312,132.30/x
  3. Step 3: Cross multiply
    522,084.30x = 783,126.45 × 312,132.30
  4. Step 4: Simplify right side
    522,084.30x = 244,439,060,029.34
  5. Step 5: Solve for x
    x = 244,439,060,029.34/522,084.30
  6. Step 6: Final answer
    x = 468,198.45

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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.