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Finding the Fourth Proportional to 802,472.76, 1,203,825.78 and 428,291.64

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Solution

The fourth proportional to 802,472.76, 1,203,825.78 and 428,291.64 is: 642,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,472.76 : 1,203,825.78 = 428,291.64 : x
  2. Step 2: Convert to fraction form
    802,472.76/1,203,825.78 = 428,291.64/x
  3. Step 3: Cross multiply
    802,472.76x = 1,203,825.78 × 428,291.64
  4. Step 4: Simplify right side
    802,472.76x = 515,588,517,590.48
  5. Step 5: Solve for x
    x = 515,588,517,590.48/802,472.76
  6. Step 6: Final answer
    x = 642,499.71

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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.