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Finding the Fourth Proportional to 264,559.40, 396,839.10 and 140,143.40

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Solution

The fourth proportional to 264,559.40, 396,839.10 and 140,143.40 is: 210,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,559.40 : 396,839.10 = 140,143.40 : x
  2. Step 2: Convert to fraction form
    264,559.40/396,839.10 = 140,143.40/x
  3. Step 3: Cross multiply
    264,559.40x = 396,839.10 × 140,143.40
  4. Step 4: Simplify right side
    264,559.40x = 55,614,380,726.94
  5. Step 5: Solve for x
    x = 55,614,380,726.94/264,559.40
  6. Step 6: Final answer
    x = 210,215.10

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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.