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Finding the Fourth Proportional to 458,277.60, 687,140.22 and 205,512.42

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Solution

The fourth proportional to 458,277.60, 687,140.22 and 205,512.42 is: 308,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,277.60 : 687,140.22 = 205,512.42 : x
  2. Step 2: Convert to fraction form
    458,277.60/687,140.22 = 205,512.42/x
  3. Step 3: Cross multiply
    458,277.60x = 687,140.22 × 205,512.42
  4. Step 4: Simplify right side
    458,277.60x = 141,215,849,491.53
  5. Step 5: Solve for x
    x = 141,215,849,491.53/458,277.60
  6. Step 6: Final answer
    x = 308,144.78

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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.