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Finding the Fourth Proportional to 284,614.78, 392,753.06 and 157,282.78

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Solution

The fourth proportional to 284,614.78, 392,753.06 and 157,282.78 is: 217,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,614.78 : 392,753.06 = 157,282.78 : x
  2. Step 2: Convert to fraction form
    284,614.78/392,753.06 = 157,282.78/x
  3. Step 3: Cross multiply
    284,614.78x = 392,753.06 × 157,282.78
  4. Step 4: Simplify right side
    284,614.78x = 61,773,293,130.31
  5. Step 5: Solve for x
    x = 61,773,293,130.31/284,614.78
  6. Step 6: Final answer
    x = 217,041.76

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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.