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Finding the Fourth Proportional to 255,790.96, 383,672.40 and 78,297.84

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Solution

The fourth proportional to 255,790.96, 383,672.40 and 78,297.84 is: 117,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,790.96 : 383,672.40 = 78,297.84 : x
  2. Step 2: Convert to fraction form
    255,790.96/383,672.40 = 78,297.84/x
  3. Step 3: Cross multiply
    255,790.96x = 383,672.40 × 78,297.84
  4. Step 4: Simplify right side
    255,790.96x = 30,040,720,187.62
  5. Step 5: Solve for x
    x = 30,040,720,187.62/255,790.96
  6. Step 6: Final answer
    x = 117,442.46

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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.