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Finding the Fourth Proportional to 284,200.29, 392,195.60 and 156,874.97

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Solution

The fourth proportional to 284,200.29, 392,195.60 and 156,874.97 is: 216,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,200.29 : 392,195.60 = 156,874.97 : x
  2. Step 2: Convert to fraction form
    284,200.29/392,195.60 = 156,874.97/x
  3. Step 3: Cross multiply
    284,200.29x = 392,195.60 × 156,874.97
  4. Step 4: Simplify right side
    284,200.29x = 61,525,673,180.25
  5. Step 5: Solve for x
    x = 61,525,673,180.25/284,200.29
  6. Step 6: Final answer
    x = 216,487.02

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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.