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Finding the Fourth Proportional to 257,029.43, 385,560.54 and 79,521.57

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Solution

The fourth proportional to 257,029.43, 385,560.54 and 79,521.57 is: 119,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,029.43 : 385,560.54 = 79,521.57 : x
  2. Step 2: Convert to fraction form
    257,029.43/385,560.54 = 79,521.57/x
  3. Step 3: Cross multiply
    257,029.43x = 385,560.54 × 79,521.57
  4. Step 4: Simplify right side
    257,029.43x = 30,660,379,470.85
  5. Step 5: Solve for x
    x = 30,660,379,470.85/257,029.43
  6. Step 6: Final answer
    x = 119,287.43

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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.