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Finding the Fourth Proportional to 275,706.20, 380,474.64 and 154,847.66

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Solution

The fourth proportional to 275,706.20, 380,474.64 and 154,847.66 is: 213,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,706.20 : 380,474.64 = 154,847.66 : x
  2. Step 2: Convert to fraction form
    275,706.20/380,474.64 = 154,847.66/x
  3. Step 3: Cross multiply
    275,706.20x = 380,474.64 × 154,847.66
  4. Step 4: Simplify right side
    275,706.20x = 58,915,607,693.34
  5. Step 5: Solve for x
    x = 58,915,607,693.34/275,706.20
  6. Step 6: Final answer
    x = 213,689.82

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1.5x scale

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.