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Finding the Fourth Proportional to 410,420.28, 616,616.82 and 387,761.88

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Solution

The fourth proportional to 410,420.28, 616,616.82 and 387,761.88 is: 582,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,420.28 : 616,616.82 = 387,761.88 : x
  2. Step 2: Convert to fraction form
    410,420.28/616,616.82 = 387,761.88/x
  3. Step 3: Cross multiply
    410,420.28x = 616,616.82 × 387,761.88
  4. Step 4: Simplify right side
    410,420.28x = 239,100,497,362.82
  5. Step 5: Solve for x
    x = 239,100,497,362.82/410,420.28
  6. Step 6: Final answer
    x = 582,574.76

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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.