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Finding the Fourth Proportional to 312,458.85, 431,188.11 and 169,217.64

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Solution

The fourth proportional to 312,458.85, 431,188.11 and 169,217.64 is: 233,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,458.85 : 431,188.11 = 169,217.64 : x
  2. Step 2: Convert to fraction form
    312,458.85/431,188.11 = 169,217.64/x
  3. Step 3: Cross multiply
    312,458.85x = 431,188.11 × 169,217.64
  4. Step 4: Simplify right side
    312,458.85x = 72,964,634,370.26
  5. Step 5: Solve for x
    x = 72,964,634,370.26/312,458.85
  6. Step 6: Final answer
    x = 233,517.58

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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.