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Finding the Fourth Proportional to 381,305.95, 571,962.87 and 115,068.67

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Solution

The fourth proportional to 381,305.95, 571,962.87 and 115,068.67 is: 172,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,305.95 : 571,962.87 = 115,068.67 : x
  2. Step 2: Convert to fraction form
    381,305.95/571,962.87 = 115,068.67/x
  3. Step 3: Cross multiply
    381,305.95x = 571,962.87 × 115,068.67
  4. Step 4: Simplify right side
    381,305.95x = 65,815,005,310.38
  5. Step 5: Solve for x
    x = 65,815,005,310.38/381,305.95
  6. Step 6: Final answer
    x = 172,604.19

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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.