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Finding the Fourth Proportional to 284,587.92, 392,715.88 and 157,255.31

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Solution

The fourth proportional to 284,587.92, 392,715.88 and 157,255.31 is: 217,003.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,587.92 : 392,715.88 = 157,255.31 : x
  2. Step 2: Convert to fraction form
    284,587.92/392,715.88 = 157,255.31/x
  3. Step 3: Cross multiply
    284,587.92x = 392,715.88 × 157,255.31
  4. Step 4: Simplify right side
    284,587.92x = 61,756,658,039.97
  5. Step 5: Solve for x
    x = 61,756,658,039.97/284,587.92
  6. Step 6: Final answer
    x = 217,003.79

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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.