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Finding the Fourth Proportional to 541,377.80, 747,077.76 and 299,645.96

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Solution

The fourth proportional to 541,377.80, 747,077.76 and 299,645.96 is: 413,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,377.80 : 747,077.76 = 299,645.96 : x
  2. Step 2: Convert to fraction form
    541,377.80/747,077.76 = 299,645.96/x
  3. Step 3: Cross multiply
    541,377.80x = 747,077.76 × 299,645.96
  4. Step 4: Simplify right side
    541,377.80x = 223,858,832,589.85
  5. Step 5: Solve for x
    x = 223,858,832,589.85/541,377.80
  6. Step 6: Final answer
    x = 413,498.36

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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.