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Finding the Fourth Proportional to 541,780.50, 747,655.22 and 312,336.69

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Solution

The fourth proportional to 541,780.50, 747,655.22 and 312,336.69 is: 431,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,780.50 : 747,655.22 = 312,336.69 : x
  2. Step 2: Convert to fraction form
    541,780.50/747,655.22 = 312,336.69/x
  3. Step 3: Cross multiply
    541,780.50x = 747,655.22 × 312,336.69
  4. Step 4: Simplify right side
    541,780.50x = 233,520,155,114.34
  5. Step 5: Solve for x
    x = 233,520,155,114.34/541,780.50
  6. Step 6: Final answer
    x = 431,023.55

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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.