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Finding the Fourth Proportional to 778,236, 1,073,965.68 and 420,540

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Solution

The fourth proportional to 778,236, 1,073,965.68 and 420,540 is: 580,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,236 : 1,073,965.68 = 420,540 : x
  2. Step 2: Convert to fraction form
    778,236/1,073,965.68 = 420,540/x
  3. Step 3: Cross multiply
    778,236x = 1,073,965.68 × 420,540
  4. Step 4: Simplify right side
    778,236x = 451,645,527,067.20
  5. Step 5: Solve for x
    x = 451,645,527,067.20/778,236
  6. Step 6: Final answer
    x = 580,345.20

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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.