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Finding the Fourth Proportional to 262,894.80, 394,342.20 and 144,505.20

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Solution

The fourth proportional to 262,894.80, 394,342.20 and 144,505.20 is: 216,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,894.80 : 394,342.20 = 144,505.20 : x
  2. Step 2: Convert to fraction form
    262,894.80/394,342.20 = 144,505.20/x
  3. Step 3: Cross multiply
    262,894.80x = 394,342.20 × 144,505.20
  4. Step 4: Simplify right side
    262,894.80x = 56,984,498,479.44
  5. Step 5: Solve for x
    x = 56,984,498,479.44/262,894.80
  6. Step 6: Final answer
    x = 216,757.80

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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.