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Finding the Fourth Proportional to 313,231.96, 432,618.96 and 206,280.04

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Solution

The fourth proportional to 313,231.96, 432,618.96 and 206,280.04 is: 284,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,231.96 : 432,618.96 = 206,280.04 : x
  2. Step 2: Convert to fraction form
    313,231.96/432,618.96 = 206,280.04/x
  3. Step 3: Cross multiply
    313,231.96x = 432,618.96 × 206,280.04
  4. Step 4: Simplify right side
    313,231.96x = 89,240,656,373.56
  5. Step 5: Solve for x
    x = 89,240,656,373.56/313,231.96
  6. Step 6: Final answer
    x = 284,902.78

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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.