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Finding the Fourth Proportional to 381,309.10, 571,854.30 and 115,005.40

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Solution

The fourth proportional to 381,309.10, 571,854.30 and 115,005.40 is: 172,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,309.10 : 571,854.30 = 115,005.40 : x
  2. Step 2: Convert to fraction form
    381,309.10/571,854.30 = 115,005.40/x
  3. Step 3: Cross multiply
    381,309.10x = 571,854.30 × 115,005.40
  4. Step 4: Simplify right side
    381,309.10x = 65,766,332,513.22
  5. Step 5: Solve for x
    x = 65,766,332,513.22/381,309.10
  6. Step 6: Final answer
    x = 172,475.12

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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.