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Finding the Fourth Proportional to 458,542.08, 687,951.36 and 143,032.32

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Solution

The fourth proportional to 458,542.08, 687,951.36 and 143,032.32 is: 214,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,542.08 : 687,951.36 = 143,032.32 : x
  2. Step 2: Convert to fraction form
    458,542.08/687,951.36 = 143,032.32/x
  3. Step 3: Cross multiply
    458,542.08x = 687,951.36 × 143,032.32
  4. Step 4: Simplify right side
    458,542.08x = 98,399,279,067.96
  5. Step 5: Solve for x
    x = 98,399,279,067.96/458,542.08
  6. Step 6: Final answer
    x = 214,591.60

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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.