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Finding the Fourth Proportional to 312,632.22, 431,530.56 and 199,454.88

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Solution

The fourth proportional to 312,632.22, 431,530.56 and 199,454.88 is: 275,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,632.22 : 431,530.56 = 199,454.88 : x
  2. Step 2: Convert to fraction form
    312,632.22/431,530.56 = 199,454.88/x
  3. Step 3: Cross multiply
    312,632.22x = 431,530.56 × 199,454.88
  4. Step 4: Simplify right side
    312,632.22x = 86,070,876,061.13
  5. Step 5: Solve for x
    x = 86,070,876,061.13/312,632.22
  6. Step 6: Final answer
    x = 275,310.32

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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.