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Finding the Fourth Proportional to 302,874.40, 454,311.60 and 298,937.80

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Solution

The fourth proportional to 302,874.40, 454,311.60 and 298,937.80 is: 448,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,874.40 : 454,311.60 = 298,937.80 : x
  2. Step 2: Convert to fraction form
    302,874.40/454,311.60 = 298,937.80/x
  3. Step 3: Cross multiply
    302,874.40x = 454,311.60 × 298,937.80
  4. Step 4: Simplify right side
    302,874.40x = 135,810,910,218.48
  5. Step 5: Solve for x
    x = 135,810,910,218.48/302,874.40
  6. Step 6: Final answer
    x = 448,406.70

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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.