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Finding the Fourth Proportional to 347,309.85, 521,082.79 and 187,400.97

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Solution

The fourth proportional to 347,309.85, 521,082.79 and 187,400.97 is: 281,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,309.85 : 521,082.79 = 187,400.97 : x
  2. Step 2: Convert to fraction form
    347,309.85/521,082.79 = 187,400.97/x
  3. Step 3: Cross multiply
    347,309.85x = 521,082.79 × 187,400.97
  4. Step 4: Simplify right side
    347,309.85x = 97,651,419,827.80
  5. Step 5: Solve for x
    x = 97,651,419,827.80/347,309.85
  6. Step 6: Final answer
    x = 281,165.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.