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Finding the Fourth Proportional to 457,978.79, 632,013.03 and 254,015.53

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Solution

The fourth proportional to 457,978.79, 632,013.03 and 254,015.53 is: 350,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,978.79 : 632,013.03 = 254,015.53 : x
  2. Step 2: Convert to fraction form
    457,978.79/632,013.03 = 254,015.53/x
  3. Step 3: Cross multiply
    457,978.79x = 632,013.03 × 254,015.53
  4. Step 4: Simplify right side
    457,978.79x = 160,541,123,202.32
  5. Step 5: Solve for x
    x = 160,541,123,202.32/457,978.79
  6. Step 6: Final answer
    x = 350,542.70

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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.