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Finding the Fourth Proportional to 381,253.16, 571,480.70 and 128,446.28

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Solution

The fourth proportional to 381,253.16, 571,480.70 and 128,446.28 is: 192,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,253.16 : 571,480.70 = 128,446.28 : x
  2. Step 2: Convert to fraction form
    381,253.16/571,480.70 = 128,446.28/x
  3. Step 3: Cross multiply
    381,253.16x = 571,480.70 × 128,446.28
  4. Step 4: Simplify right side
    381,253.16x = 73,404,566,507.16
  5. Step 5: Solve for x
    x = 73,404,566,507.16/381,253.16
  6. Step 6: Final answer
    x = 192,534.97

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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.