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Finding the Fourth Proportional to 272,294.92, 408,442.56 and 85,321

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Solution

The fourth proportional to 272,294.92, 408,442.56 and 85,321 is: 127,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,294.92 : 408,442.56 = 85,321 : x
  2. Step 2: Convert to fraction form
    272,294.92/408,442.56 = 85,321/x
  3. Step 3: Cross multiply
    272,294.92x = 408,442.56 × 85,321
  4. Step 4: Simplify right side
    272,294.92x = 34,848,727,661.76
  5. Step 5: Solve for x
    x = 34,848,727,661.76/272,294.92
  6. Step 6: Final answer
    x = 127,981.56

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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.