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Finding the Fourth Proportional to 458,689.20, 687,764.52 and 138,744.80

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Solution

The fourth proportional to 458,689.20, 687,764.52 and 138,744.80 is: 208,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,689.20 : 687,764.52 = 138,744.80 : x
  2. Step 2: Convert to fraction form
    458,689.20/687,764.52 = 138,744.80/x
  3. Step 3: Cross multiply
    458,689.20x = 687,764.52 × 138,744.80
  4. Step 4: Simplify right side
    458,689.20x = 95,423,750,774.50
  5. Step 5: Solve for x
    x = 95,423,750,774.50/458,689.20
  6. Step 6: Final answer
    x = 208,035.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.