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Finding the Fourth Proportional to 275,870, 380,700.96 and 156,638

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Solution

The fourth proportional to 275,870, 380,700.96 and 156,638 is: 216,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,870 : 380,700.96 = 156,638 : x
  2. Step 2: Convert to fraction form
    275,870/380,700.96 = 156,638/x
  3. Step 3: Cross multiply
    275,870x = 380,700.96 × 156,638
  4. Step 4: Simplify right side
    275,870x = 59,632,236,972.48
  5. Step 5: Solve for x
    x = 59,632,236,972.48/275,870
  6. Step 6: Final answer
    x = 216,160.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.