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Finding the Fourth Proportional to 614,704.32, 921,834.81 and 259,745.85

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Solution

The fourth proportional to 614,704.32, 921,834.81 and 259,745.85 is: 389,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,704.32 : 921,834.81 = 259,745.85 : x
  2. Step 2: Convert to fraction form
    614,704.32/921,834.81 = 259,745.85/x
  3. Step 3: Cross multiply
    614,704.32x = 921,834.81 × 259,745.85
  4. Step 4: Simplify right side
    614,704.32x = 239,442,766,283.04
  5. Step 5: Solve for x
    x = 239,442,766,283.04/614,704.32
  6. Step 6: Final answer
    x = 389,525.11

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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.