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Finding the Fourth Proportional to 825,882.40, 1,239,745.20 and 771,738.40

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Solution

The fourth proportional to 825,882.40, 1,239,745.20 and 771,738.40 is: 1,158,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,882.40 : 1,239,745.20 = 771,738.40 : x
  2. Step 2: Convert to fraction form
    825,882.40/1,239,745.20 = 771,738.40/x
  3. Step 3: Cross multiply
    825,882.40x = 1,239,745.20 × 771,738.40
  4. Step 4: Simplify right side
    825,882.40x = 956,758,977,055.68
  5. Step 5: Solve for x
    x = 956,758,977,055.68/825,882.40
  6. Step 6: Final answer
    x = 1,158,468.78

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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.