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Finding the Fourth Proportional to 318,809.44, 439,824.96 and 189,722.04

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Solution

The fourth proportional to 318,809.44, 439,824.96 and 189,722.04 is: 261,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,809.44 : 439,824.96 = 189,722.04 : x
  2. Step 2: Convert to fraction form
    318,809.44/439,824.96 = 189,722.04/x
  3. Step 3: Cross multiply
    318,809.44x = 439,824.96 × 189,722.04
  4. Step 4: Simplify right side
    318,809.44x = 83,444,488,654.12
  5. Step 5: Solve for x
    x = 83,444,488,654.12/318,809.44
  6. Step 6: Final answer
    x = 261,737.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.