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Finding the Fourth Proportional to 275,482.35, 413,312.83 and 135,142.56

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Solution

The fourth proportional to 275,482.35, 413,312.83 and 135,142.56 is: 202,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,482.35 : 413,312.83 = 135,142.56 : x
  2. Step 2: Convert to fraction form
    275,482.35/413,312.83 = 135,142.56/x
  3. Step 3: Cross multiply
    275,482.35x = 413,312.83 × 135,142.56
  4. Step 4: Simplify right side
    275,482.35x = 55,856,153,589.19
  5. Step 5: Solve for x
    x = 55,856,153,589.19/275,482.35
  6. Step 6: Final answer
    x = 202,757.65

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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.