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Finding the Fourth Proportional to 458,149.64, 687,059.78 and 158,548.86

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Solution

The fourth proportional to 458,149.64, 687,059.78 and 158,548.86 is: 237,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,149.64 : 687,059.78 = 158,548.86 : x
  2. Step 2: Convert to fraction form
    458,149.64/687,059.78 = 158,548.86/x
  3. Step 3: Cross multiply
    458,149.64x = 687,059.78 × 158,548.86
  4. Step 4: Simplify right side
    458,149.64x = 108,932,544,078.11
  5. Step 5: Solve for x
    x = 108,932,544,078.11/458,149.64
  6. Step 6: Final answer
    x = 237,766.30

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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.