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Finding the Fourth Proportional to 218,718.40, 328,077.60 and 135,659.20

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Solution

The fourth proportional to 218,718.40, 328,077.60 and 135,659.20 is: 203,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,718.40 : 328,077.60 = 135,659.20 : x
  2. Step 2: Convert to fraction form
    218,718.40/328,077.60 = 135,659.20/x
  3. Step 3: Cross multiply
    218,718.40x = 328,077.60 × 135,659.20
  4. Step 4: Simplify right side
    218,718.40x = 44,506,744,753.92
  5. Step 5: Solve for x
    x = 44,506,744,753.92/218,718.40
  6. Step 6: Final answer
    x = 203,488.80

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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.