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Finding the Fourth Proportional to 381,129.40, 571,508.87 and 114,840.28

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Solution

The fourth proportional to 381,129.40, 571,508.87 and 114,840.28 is: 172,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,129.40 : 571,508.87 = 114,840.28 : x
  2. Step 2: Convert to fraction form
    381,129.40/571,508.87 = 114,840.28/x
  3. Step 3: Cross multiply
    381,129.40x = 571,508.87 × 114,840.28
  4. Step 4: Simplify right side
    381,129.40x = 65,632,238,653.28
  5. Step 5: Solve for x
    x = 65,632,238,653.28/381,129.40
  6. Step 6: Final answer
    x = 172,204.61

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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.