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Finding the Fourth Proportional to 242,589.40, 363,884.10 and 154,234.60

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Solution

The fourth proportional to 242,589.40, 363,884.10 and 154,234.60 is: 231,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,589.40 : 363,884.10 = 154,234.60 : x
  2. Step 2: Convert to fraction form
    242,589.40/363,884.10 = 154,234.60/x
  3. Step 3: Cross multiply
    242,589.40x = 363,884.10 × 154,234.60
  4. Step 4: Simplify right side
    242,589.40x = 56,123,518,609.86
  5. Step 5: Solve for x
    x = 56,123,518,609.86/242,589.40
  6. Step 6: Final answer
    x = 231,351.90

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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.