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Finding the Fourth Proportional to 254,480.20, 381,866.10 and 96,821.80

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Solution

The fourth proportional to 254,480.20, 381,866.10 and 96,821.80 is: 145,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,480.20 : 381,866.10 = 96,821.80 : x
  2. Step 2: Convert to fraction form
    254,480.20/381,866.10 = 96,821.80/x
  3. Step 3: Cross multiply
    254,480.20x = 381,866.10 × 96,821.80
  4. Step 4: Simplify right side
    254,480.20x = 36,972,963,160.98
  5. Step 5: Solve for x
    x = 36,972,963,160.98/254,480.20
  6. Step 6: Final answer
    x = 145,288.17

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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.