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Finding the Fourth Proportional to 287,206.75, 396,398.46 and 166,348

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Solution

The fourth proportional to 287,206.75, 396,398.46 and 166,348 is: 229,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,206.75 : 396,398.46 = 166,348 : x
  2. Step 2: Convert to fraction form
    287,206.75/396,398.46 = 166,348/x
  3. Step 3: Cross multiply
    287,206.75x = 396,398.46 × 166,348
  4. Step 4: Simplify right side
    287,206.75x = 65,940,091,024.08
  5. Step 5: Solve for x
    x = 65,940,091,024.08/287,206.75
  6. Step 6: Final answer
    x = 229,591.02

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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.