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Finding the Fourth Proportional to 519,892.38, 717,451.54 and 281,428.38

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Solution

The fourth proportional to 519,892.38, 717,451.54 and 281,428.38 is: 388,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,892.38 : 717,451.54 = 281,428.38 : x
  2. Step 2: Convert to fraction form
    519,892.38/717,451.54 = 281,428.38/x
  3. Step 3: Cross multiply
    519,892.38x = 717,451.54 × 281,428.38
  4. Step 4: Simplify right side
    519,892.38x = 201,911,224,630.71
  5. Step 5: Solve for x
    x = 201,911,224,630.71/519,892.38
  6. Step 6: Final answer
    x = 388,371.19

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.