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Finding the Fourth Proportional to 198,433.89, 297,627.60 and 56,291.65

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Solution

The fourth proportional to 198,433.89, 297,627.60 and 56,291.65 is: 84,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,433.89 : 297,627.60 = 56,291.65 : x
  2. Step 2: Convert to fraction form
    198,433.89/297,627.60 = 56,291.65/x
  3. Step 3: Cross multiply
    198,433.89x = 297,627.60 × 56,291.65
  4. Step 4: Simplify right side
    198,433.89x = 16,753,948,689.54
  5. Step 5: Solve for x
    x = 16,753,948,689.54/198,433.89
  6. Step 6: Final answer
    x = 84,430.88

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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.