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Finding the Fourth Proportional to 375,517.13, 561,214.05 and 274,527.78

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Solution

The fourth proportional to 375,517.13, 561,214.05 and 274,527.78 is: 410,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,517.13 : 561,214.05 = 274,527.78 : x
  2. Step 2: Convert to fraction form
    375,517.13/561,214.05 = 274,527.78/x
  3. Step 3: Cross multiply
    375,517.13x = 561,214.05 × 274,527.78
  4. Step 4: Simplify right side
    375,517.13x = 154,068,847,251.31
  5. Step 5: Solve for x
    x = 154,068,847,251.31/375,517.13
  6. Step 6: Final answer
    x = 410,284.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.