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Finding the Fourth Proportional to 540,079.95, 809,359.32 and 413,229.09

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Solution

The fourth proportional to 540,079.95, 809,359.32 and 413,229.09 is: 619,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,079.95 : 809,359.32 = 413,229.09 : x
  2. Step 2: Convert to fraction form
    540,079.95/809,359.32 = 413,229.09/x
  3. Step 3: Cross multiply
    540,079.95x = 809,359.32 × 413,229.09
  4. Step 4: Simplify right side
    540,079.95x = 334,450,815,286.62
  5. Step 5: Solve for x
    x = 334,450,815,286.62/540,079.95
  6. Step 6: Final answer
    x = 619,261.68

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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.