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Finding the Fourth Proportional to 381,472.61, 572,213.24 and 115,235.33

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Solution

The fourth proportional to 381,472.61, 572,213.24 and 115,235.33 is: 172,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,472.61 : 572,213.24 = 115,235.33 : x
  2. Step 2: Convert to fraction form
    381,472.61/572,213.24 = 115,235.33/x
  3. Step 3: Cross multiply
    381,472.61x = 572,213.24 × 115,235.33
  4. Step 4: Simplify right side
    381,472.61x = 65,939,181,541.77
  5. Step 5: Solve for x
    x = 65,939,181,541.77/381,472.61
  6. Step 6: Final answer
    x = 172,854.30

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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.