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Finding the Fourth Proportional to 465,431.76, 642,365.28 and 284,247.90

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Solution

The fourth proportional to 465,431.76, 642,365.28 and 284,247.90 is: 392,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,431.76 : 642,365.28 = 284,247.90 : x
  2. Step 2: Convert to fraction form
    465,431.76/642,365.28 = 284,247.90/x
  3. Step 3: Cross multiply
    465,431.76x = 642,365.28 × 284,247.90
  4. Step 4: Simplify right side
    465,431.76x = 182,590,981,872.91
  5. Step 5: Solve for x
    x = 182,590,981,872.91/465,431.76
  6. Step 6: Final answer
    x = 392,304.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.