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Finding the Fourth Proportional to 381,373.85, 571,998.19 and 141,431.42

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Solution

The fourth proportional to 381,373.85, 571,998.19 and 141,431.42 is: 212,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,373.85 : 571,998.19 = 141,431.42 : x
  2. Step 2: Convert to fraction form
    381,373.85/571,998.19 = 141,431.42/x
  3. Step 3: Cross multiply
    381,373.85x = 571,998.19 × 141,431.42
  4. Step 4: Simplify right side
    381,373.85x = 80,898,513,389.14
  5. Step 5: Solve for x
    x = 80,898,513,389.14/381,373.85
  6. Step 6: Final answer
    x = 212,123.92

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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.