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Finding the Fourth Proportional to 284,730, 392,893.29 and 157,388.28

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Solution

The fourth proportional to 284,730, 392,893.29 and 157,388.28 is: 217,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,730 : 392,893.29 = 157,388.28 : x
  2. Step 2: Convert to fraction form
    284,730/392,893.29 = 157,388.28/x
  3. Step 3: Cross multiply
    284,730x = 392,893.29 × 157,388.28
  4. Step 4: Simplify right side
    284,730x = 61,836,799,136.64
  5. Step 5: Solve for x
    x = 61,836,799,136.64/284,730
  6. Step 6: Final answer
    x = 217,176.97

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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.