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Finding the Fourth Proportional to 381,866.87, 572,874.06 and 145,191.15

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Solution

The fourth proportional to 381,866.87, 572,874.06 and 145,191.15 is: 217,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,866.87 : 572,874.06 = 145,191.15 : x
  2. Step 2: Convert to fraction form
    381,866.87/572,874.06 = 145,191.15/x
  3. Step 3: Cross multiply
    381,866.87x = 572,874.06 × 145,191.15
  4. Step 4: Simplify right side
    381,866.87x = 83,176,243,576.57
  5. Step 5: Solve for x
    x = 83,176,243,576.57/381,866.87
  6. Step 6: Final answer
    x = 217,814.77

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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.