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Finding the Fourth Proportional to 458,148.59, 687,321.60 and 138,273.68

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Solution

The fourth proportional to 458,148.59, 687,321.60 and 138,273.68 is: 207,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,148.59 : 687,321.60 = 138,273.68 : x
  2. Step 2: Convert to fraction form
    458,148.59/687,321.60 = 138,273.68/x
  3. Step 3: Cross multiply
    458,148.59x = 687,321.60 × 138,273.68
  4. Step 4: Simplify right side
    458,148.59x = 95,038,486,975.49
  5. Step 5: Solve for x
    x = 95,038,486,975.49/458,148.59
  6. Step 6: Final answer
    x = 207,440.31

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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.