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Finding the Fourth Proportional to 298,519.90, 447,795.22 and 85,270.98

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Solution

The fourth proportional to 298,519.90, 447,795.22 and 85,270.98 is: 127,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,519.90 : 447,795.22 = 85,270.98 : x
  2. Step 2: Convert to fraction form
    298,519.90/447,795.22 = 85,270.98/x
  3. Step 3: Cross multiply
    298,519.90x = 447,795.22 × 85,270.98
  4. Step 4: Simplify right side
    298,519.90x = 38,183,937,248.72
  5. Step 5: Solve for x
    x = 38,183,937,248.72/298,519.90
  6. Step 6: Final answer
    x = 127,910.86

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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.