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Finding the Fourth Proportional to 381,574.65, 572,361.57 and 144,916.95

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Solution

The fourth proportional to 381,574.65, 572,361.57 and 144,916.95 is: 217,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,574.65 : 572,361.57 = 144,916.95 : x
  2. Step 2: Convert to fraction form
    381,574.65/572,361.57 = 144,916.95/x
  3. Step 3: Cross multiply
    381,574.65x = 572,361.57 × 144,916.95
  4. Step 4: Simplify right side
    381,574.65x = 82,944,893,021.61
  5. Step 5: Solve for x
    x = 82,944,893,021.61/381,574.65
  6. Step 6: Final answer
    x = 217,375.27

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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.