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Finding the Fourth Proportional to 287,104.83, 396,200.80 and 159,780.39

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Solution

The fourth proportional to 287,104.83, 396,200.80 and 159,780.39 is: 220,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,104.83 : 396,200.80 = 159,780.39 : x
  2. Step 2: Convert to fraction form
    287,104.83/396,200.80 = 159,780.39/x
  3. Step 3: Cross multiply
    287,104.83x = 396,200.80 × 159,780.39
  4. Step 4: Simplify right side
    287,104.83x = 63,305,118,342.31
  5. Step 5: Solve for x
    x = 63,305,118,342.31/287,104.83
  6. Step 6: Final answer
    x = 220,494.79

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1.5x scale

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.