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Finding the Fourth Proportional to 458,091.76, 687,366.82 and 205,552.80

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Solution

The fourth proportional to 458,091.76, 687,366.82 and 205,552.80 is: 308,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,091.76 : 687,366.82 = 205,552.80 : x
  2. Step 2: Convert to fraction form
    458,091.76/687,366.82 = 205,552.80/x
  3. Step 3: Cross multiply
    458,091.76x = 687,366.82 × 205,552.80
  4. Step 4: Simplify right side
    458,091.76x = 141,290,174,478.10
  5. Step 5: Solve for x
    x = 141,290,174,478.10/458,091.76
  6. Step 6: Final answer
    x = 308,432.04

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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.