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Finding the Fourth Proportional to 287,155.26, 396,274.28 and 159,828.12

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Solution

The fourth proportional to 287,155.26, 396,274.28 and 159,828.12 is: 220,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,155.26 : 396,274.28 = 159,828.12 : x
  2. Step 2: Convert to fraction form
    287,155.26/396,274.28 = 159,828.12/x
  3. Step 3: Cross multiply
    287,155.26x = 396,274.28 × 159,828.12
  4. Step 4: Simplify right side
    287,155.26x = 63,335,772,377.61
  5. Step 5: Solve for x
    x = 63,335,772,377.61/287,155.26
  6. Step 6: Final answer
    x = 220,562.81

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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.