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Finding the Fourth Proportional to 998,649, 1,378,140.48 and 545,940

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Solution

The fourth proportional to 998,649, 1,378,140.48 and 545,940 is: 753,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,649 : 1,378,140.48 = 545,940 : x
  2. Step 2: Convert to fraction form
    998,649/1,378,140.48 = 545,940/x
  3. Step 3: Cross multiply
    998,649x = 1,378,140.48 × 545,940
  4. Step 4: Simplify right side
    998,649x = 752,382,013,651.20
  5. Step 5: Solve for x
    x = 752,382,013,651.20/998,649
  6. Step 6: Final answer
    x = 753,399.86

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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.