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Finding the Fourth Proportional to 218,746.34, 328,146.84 and 85,609.40

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Solution

The fourth proportional to 218,746.34, 328,146.84 and 85,609.40 is: 128,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,746.34 : 328,146.84 = 85,609.40 : x
  2. Step 2: Convert to fraction form
    218,746.34/328,146.84 = 85,609.40/x
  3. Step 3: Cross multiply
    218,746.34x = 328,146.84 × 85,609.40
  4. Step 4: Simplify right side
    218,746.34x = 28,092,454,084.30
  5. Step 5: Solve for x
    x = 28,092,454,084.30/218,746.34
  6. Step 6: Final answer
    x = 128,424.80

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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.