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Finding the Fourth Proportional to 287,282.49, 396,446.11 and 158,218.50

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Solution

The fourth proportional to 287,282.49, 396,446.11 and 158,218.50 is: 218,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,282.49 : 396,446.11 = 158,218.50 : x
  2. Step 2: Convert to fraction form
    287,282.49/396,446.11 = 158,218.50/x
  3. Step 3: Cross multiply
    287,282.49x = 396,446.11 × 158,218.50
  4. Step 4: Simplify right side
    287,282.49x = 62,725,109,946.16
  5. Step 5: Solve for x
    x = 62,725,109,946.16/287,282.49
  6. Step 6: Final answer
    x = 218,339.48

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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.