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Finding the Fourth Proportional to 800,065.72, 1,199,729.22 and 294,499.96

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Solution

The fourth proportional to 800,065.72, 1,199,729.22 and 294,499.96 is: 441,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,065.72 : 1,199,729.22 = 294,499.96 : x
  2. Step 2: Convert to fraction form
    800,065.72/1,199,729.22 = 294,499.96/x
  3. Step 3: Cross multiply
    800,065.72x = 1,199,729.22 × 294,499.96
  4. Step 4: Simplify right side
    800,065.72x = 353,320,207,300.83
  5. Step 5: Solve for x
    x = 353,320,207,300.83/800,065.72
  6. Step 6: Final answer
    x = 441,613.98

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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.