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Finding the Fourth Proportional to 284,224.56, 392,230.42 and 156,900.30

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Solution

The fourth proportional to 284,224.56, 392,230.42 and 156,900.30 is: 216,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,224.56 : 392,230.42 = 156,900.30 : x
  2. Step 2: Convert to fraction form
    284,224.56/392,230.42 = 156,900.30/x
  3. Step 3: Cross multiply
    284,224.56x = 392,230.42 × 156,900.30
  4. Step 4: Simplify right side
    284,224.56x = 61,541,070,567.13
  5. Step 5: Solve for x
    x = 61,541,070,567.13/284,224.56
  6. Step 6: Final answer
    x = 216,522.71

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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.