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Finding the Fourth Proportional to 313,502.60, 432,702.48 and 206,082.56

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Solution

The fourth proportional to 313,502.60, 432,702.48 and 206,082.56 is: 284,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,502.60 : 432,702.48 = 206,082.56 : x
  2. Step 2: Convert to fraction form
    313,502.60/432,702.48 = 206,082.56/x
  3. Step 3: Cross multiply
    313,502.60x = 432,702.48 × 206,082.56
  4. Step 4: Simplify right side
    313,502.60x = 89,172,434,796.75
  5. Step 5: Solve for x
    x = 89,172,434,796.75/313,502.60
  6. Step 6: Final answer
    x = 284,439.22

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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.