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Finding the Fourth Proportional to 218,321.40, 327,654.90 and 85,265.40

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Solution

The fourth proportional to 218,321.40, 327,654.90 and 85,265.40 is: 127,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,321.40 : 327,654.90 = 85,265.40 : x
  2. Step 2: Convert to fraction form
    218,321.40/327,654.90 = 85,265.40/x
  3. Step 3: Cross multiply
    218,321.40x = 327,654.90 × 85,265.40
  4. Step 4: Simplify right side
    218,321.40x = 27,937,626,110.46
  5. Step 5: Solve for x
    x = 27,937,626,110.46/218,321.40
  6. Step 6: Final answer
    x = 127,965.59

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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.