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Finding the Fourth Proportional to 543,624.20, 815,436.30 and 538,375.40

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Solution

The fourth proportional to 543,624.20, 815,436.30 and 538,375.40 is: 807,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,624.20 : 815,436.30 = 538,375.40 : x
  2. Step 2: Convert to fraction form
    543,624.20/815,436.30 = 538,375.40/x
  3. Step 3: Cross multiply
    543,624.20x = 815,436.30 × 538,375.40
  4. Step 4: Simplify right side
    543,624.20x = 439,010,844,187.02
  5. Step 5: Solve for x
    x = 439,010,844,187.02/543,624.20
  6. Step 6: Final answer
    x = 807,563.10

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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.