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Finding the Fourth Proportional to 287,214.56, 396,340.80 and 159,886.88

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Solution

The fourth proportional to 287,214.56, 396,340.80 and 159,886.88 is: 220,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,214.56 : 396,340.80 = 159,886.88 : x
  2. Step 2: Convert to fraction form
    287,214.56/396,340.80 = 159,886.88/x
  3. Step 3: Cross multiply
    287,214.56x = 396,340.80 × 159,886.88
  4. Step 4: Simplify right side
    287,214.56x = 63,369,693,928.70
  5. Step 5: Solve for x
    x = 63,369,693,928.70/287,214.56
  6. Step 6: Final answer
    x = 220,635.38

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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.