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Finding the Fourth Proportional to 538,761.20, 807,623.40 and 418,751.60

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Solution

The fourth proportional to 538,761.20, 807,623.40 and 418,751.60 is: 627,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,761.20 : 807,623.40 = 418,751.60 : x
  2. Step 2: Convert to fraction form
    538,761.20/807,623.40 = 418,751.60/x
  3. Step 3: Cross multiply
    538,761.20x = 807,623.40 × 418,751.60
  4. Step 4: Simplify right side
    538,761.20x = 338,193,590,947.44
  5. Step 5: Solve for x
    x = 338,193,590,947.44/538,761.20
  6. Step 6: Final answer
    x = 627,724.47

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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.