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Finding the Fourth Proportional to 287,116.34, 396,220.54 and 159,822

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Solution

The fourth proportional to 287,116.34, 396,220.54 and 159,822 is: 220,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,116.34 : 396,220.54 = 159,822 : x
  2. Step 2: Convert to fraction form
    287,116.34/396,220.54 = 159,822/x
  3. Step 3: Cross multiply
    287,116.34x = 396,220.54 × 159,822
  4. Step 4: Simplify right side
    287,116.34x = 63,324,759,143.88
  5. Step 5: Solve for x
    x = 63,324,759,143.88/287,116.34
  6. Step 6: Final answer
    x = 220,554.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.