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Finding the Fourth Proportional to 265,012.59, 397,521.20 and 75,472.78

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Solution

The fourth proportional to 265,012.59, 397,521.20 and 75,472.78 is: 113,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,012.59 : 397,521.20 = 75,472.78 : x
  2. Step 2: Convert to fraction form
    265,012.59/397,521.20 = 75,472.78/x
  3. Step 3: Cross multiply
    265,012.59x = 397,521.20 × 75,472.78
  4. Step 4: Simplify right side
    265,012.59x = 30,002,030,072.94
  5. Step 5: Solve for x
    x = 30,002,030,072.94/265,012.59
  6. Step 6: Final answer
    x = 113,209.83

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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.