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Finding the Fourth Proportional to 457,882.40, 686,823.60 and 432,077.60

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Solution

The fourth proportional to 457,882.40, 686,823.60 and 432,077.60 is: 648,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,882.40 : 686,823.60 = 432,077.60 : x
  2. Step 2: Convert to fraction form
    457,882.40/686,823.60 = 432,077.60/x
  3. Step 3: Cross multiply
    457,882.40x = 686,823.60 × 432,077.60
  4. Step 4: Simplify right side
    457,882.40x = 296,761,092,711.36
  5. Step 5: Solve for x
    x = 296,761,092,711.36/457,882.40
  6. Step 6: Final answer
    x = 648,116.40

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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.