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Finding the Fourth Proportional to 252,834.40, 378,992.40 and 147,599.20

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Solution

The fourth proportional to 252,834.40, 378,992.40 and 147,599.20 is: 221,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,834.40 : 378,992.40 = 147,599.20 : x
  2. Step 2: Convert to fraction form
    252,834.40/378,992.40 = 147,599.20/x
  3. Step 3: Cross multiply
    252,834.40x = 378,992.40 × 147,599.20
  4. Step 4: Simplify right side
    252,834.40x = 55,938,975,046.08
  5. Step 5: Solve for x
    x = 55,938,975,046.08/252,834.40
  6. Step 6: Final answer
    x = 221,247.48

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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.