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Finding the Fourth Proportional to 220,469, 330,703.50 and 54,257

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Solution

The fourth proportional to 220,469, 330,703.50 and 54,257 is: 81,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,469 : 330,703.50 = 54,257 : x
  2. Step 2: Convert to fraction form
    220,469/330,703.50 = 54,257/x
  3. Step 3: Cross multiply
    220,469x = 330,703.50 × 54,257
  4. Step 4: Simplify right side
    220,469x = 17,942,979,799.50
  5. Step 5: Solve for x
    x = 17,942,979,799.50/220,469
  6. Step 6: Final answer
    x = 81,385.50

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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.