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Finding the Fourth Proportional to 457,963.20, 687,009.60 and 142,387.20

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Solution

The fourth proportional to 457,963.20, 687,009.60 and 142,387.20 is: 213,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,963.20 : 687,009.60 = 142,387.20 : x
  2. Step 2: Convert to fraction form
    457,963.20/687,009.60 = 142,387.20/x
  3. Step 3: Cross multiply
    457,963.20x = 687,009.60 × 142,387.20
  4. Step 4: Simplify right side
    457,963.20x = 97,821,373,317.12
  5. Step 5: Solve for x
    x = 97,821,373,317.12/457,963.20
  6. Step 6: Final answer
    x = 213,600.95

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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.