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Finding the Fourth Proportional to 381,236.90, 571,689.20 and 128,470.28

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Solution

The fourth proportional to 381,236.90, 571,689.20 and 128,470.28 is: 192,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,236.90 : 571,689.20 = 128,470.28 : x
  2. Step 2: Convert to fraction form
    381,236.90/571,689.20 = 128,470.28/x
  3. Step 3: Cross multiply
    381,236.90x = 571,689.20 × 128,470.28
  4. Step 4: Simplify right side
    381,236.90x = 73,445,069,059.71
  5. Step 5: Solve for x
    x = 73,445,069,059.71/381,236.90
  6. Step 6: Final answer
    x = 192,649.43

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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.