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Finding the Fourth Proportional to 311,693.13, 429,937.07 and 216,164.97

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Solution

The fourth proportional to 311,693.13, 429,937.07 and 216,164.97 is: 298,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,693.13 : 429,937.07 = 216,164.97 : x
  2. Step 2: Convert to fraction form
    311,693.13/429,937.07 = 216,164.97/x
  3. Step 3: Cross multiply
    311,693.13x = 429,937.07 × 216,164.97
  4. Step 4: Simplify right side
    311,693.13x = 92,937,332,757.61
  5. Step 5: Solve for x
    x = 92,937,332,757.61/311,693.13
  6. Step 6: Final answer
    x = 298,169.33

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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.