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Finding the Fourth Proportional to 263,038.40, 394,363.20 and 144,843.20

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Solution

The fourth proportional to 263,038.40, 394,363.20 and 144,843.20 is: 217,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,038.40 : 394,363.20 = 144,843.20 : x
  2. Step 2: Convert to fraction form
    263,038.40/394,363.20 = 144,843.20/x
  3. Step 3: Cross multiply
    263,038.40x = 394,363.20 × 144,843.20
  4. Step 4: Simplify right side
    263,038.40x = 57,120,827,850.24
  5. Step 5: Solve for x
    x = 57,120,827,850.24/263,038.40
  6. Step 6: Final answer
    x = 217,157.75

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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.