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Finding the Fourth Proportional to 381,575.83, 572,384.81 and 115,329.64

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Solution

The fourth proportional to 381,575.83, 572,384.81 and 115,329.64 is: 173,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,575.83 : 572,384.81 = 115,329.64 : x
  2. Step 2: Convert to fraction form
    381,575.83/572,384.81 = 115,329.64/x
  3. Step 3: Cross multiply
    381,575.83x = 572,384.81 × 115,329.64
  4. Step 4: Simplify right side
    381,575.83x = 66,012,934,078.77
  5. Step 5: Solve for x
    x = 66,012,934,078.77/381,575.83
  6. Step 6: Final answer
    x = 173,000.83

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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.