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Finding the Fourth Proportional to 778,885, 1,074,861.36 and 421,189

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Solution

The fourth proportional to 778,885, 1,074,861.36 and 421,189 is: 581,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,885 : 1,074,861.36 = 421,189 : x
  2. Step 2: Convert to fraction form
    778,885/1,074,861.36 = 421,189/x
  3. Step 3: Cross multiply
    778,885x = 1,074,861.36 × 421,189
  4. Step 4: Simplify right side
    778,885x = 452,719,781,357.04
  5. Step 5: Solve for x
    x = 452,719,781,357.04/778,885
  6. Step 6: Final answer
    x = 581,240.85

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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.