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Finding the Fourth Proportional to 543,209.80, 815,429.10 and 321,718.60

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Solution

The fourth proportional to 543,209.80, 815,429.10 and 321,718.60 is: 482,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,209.80 : 815,429.10 = 321,718.60 : x
  2. Step 2: Convert to fraction form
    543,209.80/815,429.10 = 321,718.60/x
  3. Step 3: Cross multiply
    543,209.80x = 815,429.10 × 321,718.60
  4. Step 4: Simplify right side
    543,209.80x = 262,338,708,451.26
  5. Step 5: Solve for x
    x = 262,338,708,451.26/543,209.80
  6. Step 6: Final answer
    x = 482,941.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.