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Finding the Fourth Proportional to 297,814.80, 446,722.20 and 278,131.80

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Solution

The fourth proportional to 297,814.80, 446,722.20 and 278,131.80 is: 417,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,814.80 : 446,722.20 = 278,131.80 : x
  2. Step 2: Convert to fraction form
    297,814.80/446,722.20 = 278,131.80/x
  3. Step 3: Cross multiply
    297,814.80x = 446,722.20 × 278,131.80
  4. Step 4: Simplify right side
    297,814.80x = 124,247,649,585.96
  5. Step 5: Solve for x
    x = 124,247,649,585.96/297,814.80
  6. Step 6: Final answer
    x = 417,197.70

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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.