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Finding the Fourth Proportional to 298,498.40, 447,747.60 and 281,391.20

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Solution

The fourth proportional to 298,498.40, 447,747.60 and 281,391.20 is: 422,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,498.40 : 447,747.60 = 281,391.20 : x
  2. Step 2: Convert to fraction form
    298,498.40/447,747.60 = 281,391.20/x
  3. Step 3: Cross multiply
    298,498.40x = 447,747.60 × 281,391.20
  4. Step 4: Simplify right side
    298,498.40x = 125,992,234,461.12
  5. Step 5: Solve for x
    x = 125,992,234,461.12/298,498.40
  6. Step 6: Final answer
    x = 422,086.80

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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.