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Finding the Fourth Proportional to 371,770.38, 513,047.79 and 202,007.34

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Solution

The fourth proportional to 371,770.38, 513,047.79 and 202,007.34 is: 278,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,770.38 : 513,047.79 = 202,007.34 : x
  2. Step 2: Convert to fraction form
    371,770.38/513,047.79 = 202,007.34/x
  3. Step 3: Cross multiply
    371,770.38x = 513,047.79 × 202,007.34
  4. Step 4: Simplify right side
    371,770.38x = 103,639,419,350.78
  5. Step 5: Solve for x
    x = 103,639,419,350.78/371,770.38
  6. Step 6: Final answer
    x = 278,772.66

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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.