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Finding the Fourth Proportional to 284,428.08, 392,508.42 and 155,366.64

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Solution

The fourth proportional to 284,428.08, 392,508.42 and 155,366.64 is: 214,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,428.08 : 392,508.42 = 155,366.64 : x
  2. Step 2: Convert to fraction form
    284,428.08/392,508.42 = 155,366.64/x
  3. Step 3: Cross multiply
    284,428.08x = 392,508.42 × 155,366.64
  4. Step 4: Simplify right side
    284,428.08x = 60,982,714,387.11
  5. Step 5: Solve for x
    x = 60,982,714,387.11/284,428.08
  6. Step 6: Final answer
    x = 214,404.69

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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.