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Finding the Fourth Proportional to 298,082.60, 447,005.10 and 98,347.40

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Solution

The fourth proportional to 298,082.60, 447,005.10 and 98,347.40 is: 147,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,082.60 : 447,005.10 = 98,347.40 : x
  2. Step 2: Convert to fraction form
    298,082.60/447,005.10 = 98,347.40/x
  3. Step 3: Cross multiply
    298,082.60x = 447,005.10 × 98,347.40
  4. Step 4: Simplify right side
    298,082.60x = 43,961,789,371.74
  5. Step 5: Solve for x
    x = 43,961,789,371.74/298,082.60
  6. Step 6: Final answer
    x = 147,481.90

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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.