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Finding the Fourth Proportional to 215,422.38, 297,318.38 and 164,338.65

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Solution

The fourth proportional to 215,422.38, 297,318.38 and 164,338.65 is: 226,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,422.38 : 297,318.38 = 164,338.65 : x
  2. Step 2: Convert to fraction form
    215,422.38/297,318.38 = 164,338.65/x
  3. Step 3: Cross multiply
    215,422.38x = 297,318.38 × 164,338.65
  4. Step 4: Simplify right side
    215,422.38x = 48,860,900,367.69
  5. Step 5: Solve for x
    x = 48,860,900,367.69/215,422.38
  6. Step 6: Final answer
    x = 226,814.41

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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.