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Finding the Fourth Proportional to 383,715.85, 575,245.54 and 147,228.25

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Solution

The fourth proportional to 383,715.85, 575,245.54 and 147,228.25 is: 220,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,715.85 : 575,245.54 = 147,228.25 : x
  2. Step 2: Convert to fraction form
    383,715.85/575,245.54 = 147,228.25/x
  3. Step 3: Cross multiply
    383,715.85x = 575,245.54 × 147,228.25
  4. Step 4: Simplify right side
    383,715.85x = 84,692,394,174.51
  5. Step 5: Solve for x
    x = 84,692,394,174.51/383,715.85
  6. Step 6: Final answer
    x = 220,716.43

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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.