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Finding the Fourth Proportional to 543,131.75, 749,348.42 and 313,658.73

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Solution

The fourth proportional to 543,131.75, 749,348.42 and 313,658.73 is: 432,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,131.75 : 749,348.42 = 313,658.73 : x
  2. Step 2: Convert to fraction form
    543,131.75/749,348.42 = 313,658.73/x
  3. Step 3: Cross multiply
    543,131.75x = 749,348.42 × 313,658.73
  4. Step 4: Simplify right side
    543,131.75x = 235,039,672,655.48
  5. Step 5: Solve for x
    x = 235,039,672,655.48/543,131.75
  6. Step 6: Final answer
    x = 432,748.91

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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.