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Finding the Fourth Proportional to 215,233.40, 322,859.70 and 82,177.40

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Solution

The fourth proportional to 215,233.40, 322,859.70 and 82,177.40 is: 123,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,233.40 : 322,859.70 = 82,177.40 : x
  2. Step 2: Convert to fraction form
    215,233.40/322,859.70 = 82,177.40/x
  3. Step 3: Cross multiply
    215,233.40x = 322,859.70 × 82,177.40
  4. Step 4: Simplify right side
    215,233.40x = 26,531,770,710.78
  5. Step 5: Solve for x
    x = 26,531,770,710.78/215,233.40
  6. Step 6: Final answer
    x = 123,269.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.