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Finding the Fourth Proportional to 298,002.70, 447,660.15 and 209,429.20

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Solution

The fourth proportional to 298,002.70, 447,660.15 and 209,429.20 is: 314,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.70 : 447,660.15 = 209,429.20 : x
  2. Step 2: Convert to fraction form
    298,002.70/447,660.15 = 209,429.20/x
  3. Step 3: Cross multiply
    298,002.70x = 447,660.15 × 209,429.20
  4. Step 4: Simplify right side
    298,002.70x = 93,753,107,086.38
  5. Step 5: Solve for x
    x = 93,753,107,086.38/298,002.70
  6. Step 6: Final answer
    x = 314,604.89

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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.