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Finding the Fourth Proportional to 383,715.60, 575,245.22 and 147,228

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Solution

The fourth proportional to 383,715.60, 575,245.22 and 147,228 is: 220,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,715.60 : 575,245.22 = 147,228 : x
  2. Step 2: Convert to fraction form
    383,715.60/575,245.22 = 147,228/x
  3. Step 3: Cross multiply
    383,715.60x = 575,245.22 × 147,228
  4. Step 4: Simplify right side
    383,715.60x = 84,692,203,250.16
  5. Step 5: Solve for x
    x = 84,692,203,250.16/383,715.60
  6. Step 6: Final answer
    x = 220,716.08

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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.