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Finding the Fourth Proportional to 263,043.20, 394,273.20 and 144,799.40

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Solution

The fourth proportional to 263,043.20, 394,273.20 and 144,799.40 is: 217,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,043.20 : 394,273.20 = 144,799.40 : x
  2. Step 2: Convert to fraction form
    263,043.20/394,273.20 = 144,799.40/x
  3. Step 3: Cross multiply
    263,043.20x = 394,273.20 × 144,799.40
  4. Step 4: Simplify right side
    263,043.20x = 57,090,522,796.08
  5. Step 5: Solve for x
    x = 57,090,522,796.08/263,043.20
  6. Step 6: Final answer
    x = 217,038.58

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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.