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Finding the Fourth Proportional to 778,614, 1,074,488.76 and 420,918

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Solution

The fourth proportional to 778,614, 1,074,488.76 and 420,918 is: 580,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,614 : 1,074,488.76 = 420,918 : x
  2. Step 2: Convert to fraction form
    778,614/1,074,488.76 = 420,918/x
  3. Step 3: Cross multiply
    778,614x = 1,074,488.76 × 420,918
  4. Step 4: Simplify right side
    778,614x = 452,271,659,881.68
  5. Step 5: Solve for x
    x = 452,271,659,881.68/778,614
  6. Step 6: Final answer
    x = 580,867.62

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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.