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Finding the Fourth Proportional to 287,200.71, 396,343.94 and 159,884.91

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Solution

The fourth proportional to 287,200.71, 396,343.94 and 159,884.91 is: 220,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,200.71 : 396,343.94 = 159,884.91 : x
  2. Step 2: Convert to fraction form
    287,200.71/396,343.94 = 159,884.91/x
  3. Step 3: Cross multiply
    287,200.71x = 396,343.94 × 159,884.91
  4. Step 4: Simplify right side
    287,200.71x = 63,369,414,376.52
  5. Step 5: Solve for x
    x = 63,369,414,376.52/287,200.71
  6. Step 6: Final answer
    x = 220,645.05

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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.