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Finding the Fourth Proportional to 632,397.28, 947,351.76 and 419,023.84

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Solution

The fourth proportional to 632,397.28, 947,351.76 and 419,023.84 is: 627,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,397.28 : 947,351.76 = 419,023.84 : x
  2. Step 2: Convert to fraction form
    632,397.28/947,351.76 = 419,023.84/x
  3. Step 3: Cross multiply
    632,397.28x = 947,351.76 × 419,023.84
  4. Step 4: Simplify right side
    632,397.28x = 396,962,972,305.96
  5. Step 5: Solve for x
    x = 396,962,972,305.96/632,397.28
  6. Step 6: Final answer
    x = 627,711.38

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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.