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Finding the Fourth Proportional to 243,020.70, 364,531.05 and 217,432.80

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Solution

The fourth proportional to 243,020.70, 364,531.05 and 217,432.80 is: 326,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,020.70 : 364,531.05 = 217,432.80 : x
  2. Step 2: Convert to fraction form
    243,020.70/364,531.05 = 217,432.80/x
  3. Step 3: Cross multiply
    243,020.70x = 364,531.05 × 217,432.80
  4. Step 4: Simplify right side
    243,020.70x = 79,261,006,888.44
  5. Step 5: Solve for x
    x = 79,261,006,888.44/243,020.70
  6. Step 6: Final answer
    x = 326,149.20

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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.