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Finding the Fourth Proportional to 311,381.80, 429,787.04 and 202,757.26

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Solution

The fourth proportional to 311,381.80, 429,787.04 and 202,757.26 is: 279,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,381.80 : 429,787.04 = 202,757.26 : x
  2. Step 2: Convert to fraction form
    311,381.80/429,787.04 = 202,757.26/x
  3. Step 3: Cross multiply
    311,381.80x = 429,787.04 × 202,757.26
  4. Step 4: Simplify right side
    311,381.80x = 87,142,442,613.91
  5. Step 5: Solve for x
    x = 87,142,442,613.91/311,381.80
  6. Step 6: Final answer
    x = 279,857.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.