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Finding the Fourth Proportional to 313,469.38, 432,720.17 and 211,632.78

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Solution

The fourth proportional to 313,469.38, 432,720.17 and 211,632.78 is: 292,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,469.38 : 432,720.17 = 211,632.78 : x
  2. Step 2: Convert to fraction form
    313,469.38/432,720.17 = 211,632.78/x
  3. Step 3: Cross multiply
    313,469.38x = 432,720.17 × 211,632.78
  4. Step 4: Simplify right side
    313,469.38x = 91,577,775,087.77
  5. Step 5: Solve for x
    x = 91,577,775,087.77/313,469.38
  6. Step 6: Final answer
    x = 292,142.65

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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.