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Finding the Fourth Proportional to 458,104.50, 687,200.49 and 142,476.66

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Solution

The fourth proportional to 458,104.50, 687,200.49 and 142,476.66 is: 213,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,104.50 : 687,200.49 = 142,476.66 : x
  2. Step 2: Convert to fraction form
    458,104.50/687,200.49 = 142,476.66/x
  3. Step 3: Cross multiply
    458,104.50x = 687,200.49 × 142,476.66
  4. Step 4: Simplify right side
    458,104.50x = 97,910,030,565.56
  5. Step 5: Solve for x
    x = 97,910,030,565.56/458,104.50
  6. Step 6: Final answer
    x = 213,728.59

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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.