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Finding the Fourth Proportional to 360,909, 541,114.02 and 259,769.16

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Solution

The fourth proportional to 360,909, 541,114.02 and 259,769.16 is: 389,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,909 : 541,114.02 = 259,769.16 : x
  2. Step 2: Convert to fraction form
    360,909/541,114.02 = 259,769.16/x
  3. Step 3: Cross multiply
    360,909x = 541,114.02 × 259,769.16
  4. Step 4: Simplify right side
    360,909x = 140,564,734,439.62
  5. Step 5: Solve for x
    x = 140,564,734,439.62/360,909
  6. Step 6: Final answer
    x = 389,474.17

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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.