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Finding the Fourth Proportional to 298,719.40, 448,079.10 and 275,909.80

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Solution

The fourth proportional to 298,719.40, 448,079.10 and 275,909.80 is: 413,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,719.40 : 448,079.10 = 275,909.80 : x
  2. Step 2: Convert to fraction form
    298,719.40/448,079.10 = 275,909.80/x
  3. Step 3: Cross multiply
    298,719.40x = 448,079.10 × 275,909.80
  4. Step 4: Simplify right side
    298,719.40x = 123,629,414,865.18
  5. Step 5: Solve for x
    x = 123,629,414,865.18/298,719.40
  6. Step 6: Final answer
    x = 413,864.70

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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.