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Finding the Fourth Proportional to 302,879.40, 454,319.10 and 298,942.80

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Solution

The fourth proportional to 302,879.40, 454,319.10 and 298,942.80 is: 448,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,879.40 : 454,319.10 = 298,942.80 : x
  2. Step 2: Convert to fraction form
    302,879.40/454,319.10 = 298,942.80/x
  3. Step 3: Cross multiply
    302,879.40x = 454,319.10 × 298,942.80
  4. Step 4: Simplify right side
    302,879.40x = 135,815,423,847.48
  5. Step 5: Solve for x
    x = 135,815,423,847.48/302,879.40
  6. Step 6: Final answer
    x = 448,414.20

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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.