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Finding the Fourth Proportional to 329,100.80, 492,403.20 and 218,508.80

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Solution

The fourth proportional to 329,100.80, 492,403.20 and 218,508.80 is: 326,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,100.80 : 492,403.20 = 218,508.80 : x
  2. Step 2: Convert to fraction form
    329,100.80/492,403.20 = 218,508.80/x
  3. Step 3: Cross multiply
    329,100.80x = 492,403.20 × 218,508.80
  4. Step 4: Simplify right side
    329,100.80x = 107,594,432,348.16
  5. Step 5: Solve for x
    x = 107,594,432,348.16/329,100.80
  6. Step 6: Final answer
    x = 326,934.58

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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.