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Finding the Fourth Proportional to 275,508, 413,331.36 and 78,516

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Solution

The fourth proportional to 275,508, 413,331.36 and 78,516 is: 117,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,508 : 413,331.36 = 78,516 : x
  2. Step 2: Convert to fraction form
    275,508/413,331.36 = 78,516/x
  3. Step 3: Cross multiply
    275,508x = 413,331.36 × 78,516
  4. Step 4: Simplify right side
    275,508x = 32,453,125,061.76
  5. Step 5: Solve for x
    x = 32,453,125,061.76/275,508
  6. Step 6: Final answer
    x = 117,793.77

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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.