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Finding the Fourth Proportional to 206,938.80, 310,408.20 and 194,691.60

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Solution

The fourth proportional to 206,938.80, 310,408.20 and 194,691.60 is: 292,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,938.80 : 310,408.20 = 194,691.60 : x
  2. Step 2: Convert to fraction form
    206,938.80/310,408.20 = 194,691.60/x
  3. Step 3: Cross multiply
    206,938.80x = 310,408.20 × 194,691.60
  4. Step 4: Simplify right side
    206,938.80x = 60,433,869,111.12
  5. Step 5: Solve for x
    x = 60,433,869,111.12/206,938.80
  6. Step 6: Final answer
    x = 292,037.40

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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.