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Finding the Fourth Proportional to 275,966.50, 380,834.13 and 156,734.50

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Solution

The fourth proportional to 275,966.50, 380,834.13 and 156,734.50 is: 216,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,966.50 : 380,834.13 = 156,734.50 : x
  2. Step 2: Convert to fraction form
    275,966.50/380,834.13 = 156,734.50/x
  3. Step 3: Cross multiply
    275,966.50x = 380,834.13 × 156,734.50
  4. Step 4: Simplify right side
    275,966.50x = 59,689,846,948.49
  5. Step 5: Solve for x
    x = 59,689,846,948.49/275,966.50
  6. Step 6: Final answer
    x = 216,293.81

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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.