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Finding the Fourth Proportional to 458,170.31, 687,257.75 and 188,445.56

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Solution

The fourth proportional to 458,170.31, 687,257.75 and 188,445.56 is: 282,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,170.31 : 687,257.75 = 188,445.56 : x
  2. Step 2: Convert to fraction form
    458,170.31/687,257.75 = 188,445.56/x
  3. Step 3: Cross multiply
    458,170.31x = 687,257.75 × 188,445.56
  4. Step 4: Simplify right side
    458,170.31x = 129,510,668,597.92
  5. Step 5: Solve for x
    x = 129,510,668,597.92/458,170.31
  6. Step 6: Final answer
    x = 282,669.27

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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.