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Finding the Fourth Proportional to 312,438.86, 431,164.76 and 169,198.86

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Solution

The fourth proportional to 312,438.86, 431,164.76 and 169,198.86 is: 233,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,438.86 : 431,164.76 = 169,198.86 : x
  2. Step 2: Convert to fraction form
    312,438.86/431,164.76 = 169,198.86/x
  3. Step 3: Cross multiply
    312,438.86x = 431,164.76 × 169,198.86
  4. Step 4: Simplify right side
    312,438.86x = 72,952,585,018.18
  5. Step 5: Solve for x
    x = 72,952,585,018.18/312,438.86
  6. Step 6: Final answer
    x = 233,493.96

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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.