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Finding the Fourth Proportional to 298,676.74, 447,859.56 and 140,862.82

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Solution

The fourth proportional to 298,676.74, 447,859.56 and 140,862.82 is: 211,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,676.74 : 447,859.56 = 140,862.82 : x
  2. Step 2: Convert to fraction form
    298,676.74/447,859.56 = 140,862.82/x
  3. Step 3: Cross multiply
    298,676.74x = 447,859.56 × 140,862.82
  4. Step 4: Simplify right side
    298,676.74x = 63,086,760,585.56
  5. Step 5: Solve for x
    x = 63,086,760,585.56/298,676.74
  6. Step 6: Final answer
    x = 211,220.87

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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.