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Finding the Fourth Proportional to 284,149.97, 392,125.04 and 156,825.57

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Solution

The fourth proportional to 284,149.97, 392,125.04 and 156,825.57 is: 216,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,149.97 : 392,125.04 = 156,825.57 : x
  2. Step 2: Convert to fraction form
    284,149.97/392,125.04 = 156,825.57/x
  3. Step 3: Cross multiply
    284,149.97x = 392,125.04 × 156,825.57
  4. Step 4: Simplify right side
    284,149.97x = 61,495,231,757.47
  5. Step 5: Solve for x
    x = 61,495,231,757.47/284,149.97
  6. Step 6: Final answer
    x = 216,418.22

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1.5x scale

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.