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Finding the Fourth Proportional to 778,618, 1,074,494.28 and 420,922

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Solution

The fourth proportional to 778,618, 1,074,494.28 and 420,922 is: 580,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,618 : 1,074,494.28 = 420,922 : x
  2. Step 2: Convert to fraction form
    778,618/1,074,494.28 = 420,922/x
  3. Step 3: Cross multiply
    778,618x = 1,074,494.28 × 420,922
  4. Step 4: Simplify right side
    778,618x = 452,278,281,326.16
  5. Step 5: Solve for x
    x = 452,278,281,326.16/778,618
  6. Step 6: Final answer
    x = 580,873.14

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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.