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Finding the Fourth Proportional to 272,493, 408,805.16 and 85,504.50

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Solution

The fourth proportional to 272,493, 408,805.16 and 85,504.50 is: 128,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,493 : 408,805.16 = 85,504.50 : x
  2. Step 2: Convert to fraction form
    272,493/408,805.16 = 85,504.50/x
  3. Step 3: Cross multiply
    272,493x = 408,805.16 × 85,504.50
  4. Step 4: Simplify right side
    272,493x = 34,954,680,375.70
  5. Step 5: Solve for x
    x = 34,954,680,375.70/272,493
  6. Step 6: Final answer
    x = 128,277.35

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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.