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Finding the Fourth Proportional to 381,553.65, 572,411.43 and 144,891.09

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Solution

The fourth proportional to 381,553.65, 572,411.43 and 144,891.09 is: 217,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,553.65 : 572,411.43 = 144,891.09 : x
  2. Step 2: Convert to fraction form
    381,553.65/572,411.43 = 144,891.09/x
  3. Step 3: Cross multiply
    381,553.65x = 572,411.43 × 144,891.09
  4. Step 4: Simplify right side
    381,553.65x = 82,937,316,021.16
  5. Step 5: Solve for x
    x = 82,937,316,021.16/381,553.65
  6. Step 6: Final answer
    x = 217,367.38

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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.