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Finding the Fourth Proportional to 284,275.52, 392,300.80 and 156,951.36

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Solution

The fourth proportional to 284,275.52, 392,300.80 and 156,951.36 is: 216,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,275.52 : 392,300.80 = 156,951.36 : x
  2. Step 2: Convert to fraction form
    284,275.52/392,300.80 = 156,951.36/x
  3. Step 3: Cross multiply
    284,275.52x = 392,300.80 × 156,951.36
  4. Step 4: Simplify right side
    284,275.52x = 61,572,144,089.09
  5. Step 5: Solve for x
    x = 61,572,144,089.09/284,275.52
  6. Step 6: Final answer
    x = 216,593.20

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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.