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Finding the Fourth Proportional to 458,542.40, 687,825.12 and 178,122.56

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Solution

The fourth proportional to 458,542.40, 687,825.12 and 178,122.56 is: 267,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,542.40 : 687,825.12 = 178,122.56 : x
  2. Step 2: Convert to fraction form
    458,542.40/687,825.12 = 178,122.56/x
  3. Step 3: Cross multiply
    458,542.40x = 687,825.12 × 178,122.56
  4. Step 4: Simplify right side
    458,542.40x = 122,517,171,206.71
  5. Step 5: Solve for x
    x = 122,517,171,206.71/458,542.40
  6. Step 6: Final answer
    x = 267,188.31

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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.