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Finding the Fourth Proportional to 252,830.40, 378,986.40 and 147,595.20

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Solution

The fourth proportional to 252,830.40, 378,986.40 and 147,595.20 is: 221,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,830.40 : 378,986.40 = 147,595.20 : x
  2. Step 2: Convert to fraction form
    252,830.40/378,986.40 = 147,595.20/x
  3. Step 3: Cross multiply
    252,830.40x = 378,986.40 × 147,595.20
  4. Step 4: Simplify right side
    252,830.40x = 55,936,573,505.28
  5. Step 5: Solve for x
    x = 55,936,573,505.28/252,830.40
  6. Step 6: Final answer
    x = 221,241.49

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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.