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Finding the Fourth Proportional to 298,508.51, 447,821.85 and 85,278.26

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Solution

The fourth proportional to 298,508.51, 447,821.85 and 85,278.26 is: 127,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,508.51 : 447,821.85 = 85,278.26 : x
  2. Step 2: Convert to fraction form
    298,508.51/447,821.85 = 85,278.26/x
  3. Step 3: Cross multiply
    298,508.51x = 447,821.85 × 85,278.26
  4. Step 4: Simplify right side
    298,508.51x = 38,189,469,597.33
  5. Step 5: Solve for x
    x = 38,189,469,597.33/298,508.51
  6. Step 6: Final answer
    x = 127,934.27

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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.