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Finding the Fourth Proportional to 998,651, 1,378,143.24 and 545,942

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Solution

The fourth proportional to 998,651, 1,378,143.24 and 545,942 is: 753,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,651 : 1,378,143.24 = 545,942 : x
  2. Step 2: Convert to fraction form
    998,651/1,378,143.24 = 545,942/x
  3. Step 3: Cross multiply
    998,651x = 1,378,143.24 × 545,942
  4. Step 4: Simplify right side
    998,651x = 752,386,276,732.08
  5. Step 5: Solve for x
    x = 752,386,276,732.08/998,651
  6. Step 6: Final answer
    x = 753,402.62

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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.