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Finding the Fourth Proportional to 383,385.57, 575,078.49 and 102,902.82

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Solution

The fourth proportional to 383,385.57, 575,078.49 and 102,902.82 is: 154,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,385.57 : 575,078.49 = 102,902.82 : x
  2. Step 2: Convert to fraction form
    383,385.57/575,078.49 = 102,902.82/x
  3. Step 3: Cross multiply
    383,385.57x = 575,078.49 × 102,902.82
  4. Step 4: Simplify right side
    383,385.57x = 59,177,198,342.34
  5. Step 5: Solve for x
    x = 59,177,198,342.34/383,385.57
  6. Step 6: Final answer
    x = 154,354.27

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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.