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Finding the Fourth Proportional to 284,234.55, 392,250.81 and 161,720.19

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Solution

The fourth proportional to 284,234.55, 392,250.81 and 161,720.19 is: 223,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,234.55 : 392,250.81 = 161,720.19 : x
  2. Step 2: Convert to fraction form
    284,234.55/392,250.81 = 161,720.19/x
  3. Step 3: Cross multiply
    284,234.55x = 392,250.81 × 161,720.19
  4. Step 4: Simplify right side
    284,234.55x = 63,434,875,520.85
  5. Step 5: Solve for x
    x = 63,434,875,520.85/284,234.55
  6. Step 6: Final answer
    x = 223,177.92

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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.