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Finding the Fourth Proportional to 298,757.85, 447,893.33 and 138,934.62

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Solution

The fourth proportional to 298,757.85, 447,893.33 and 138,934.62 is: 208,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,757.85 : 447,893.33 = 138,934.62 : x
  2. Step 2: Convert to fraction form
    298,757.85/447,893.33 = 138,934.62/x
  3. Step 3: Cross multiply
    298,757.85x = 447,893.33 × 138,934.62
  4. Step 4: Simplify right side
    298,757.85x = 62,227,888,909.41
  5. Step 5: Solve for x
    x = 62,227,888,909.41/298,757.85
  6. Step 6: Final answer
    x = 208,288.72

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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.