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Finding the Fourth Proportional to 287,676.75, 396,979.47 and 160,327.74

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Solution

The fourth proportional to 287,676.75, 396,979.47 and 160,327.74 is: 221,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,676.75 : 396,979.47 = 160,327.74 : x
  2. Step 2: Convert to fraction form
    287,676.75/396,979.47 = 160,327.74/x
  3. Step 3: Cross multiply
    287,676.75x = 396,979.47 × 160,327.74
  4. Step 4: Simplify right side
    287,676.75x = 63,646,821,251.50
  5. Step 5: Solve for x
    x = 63,646,821,251.50/287,676.75
  6. Step 6: Final answer
    x = 221,244.23

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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.