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Finding the Fourth Proportional to 287,145.51, 396,273.92 and 159,829.30

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Solution

The fourth proportional to 287,145.51, 396,273.92 and 159,829.30 is: 220,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,145.51 : 396,273.92 = 159,829.30 : x
  2. Step 2: Convert to fraction form
    287,145.51/396,273.92 = 159,829.30/x
  3. Step 3: Cross multiply
    287,145.51x = 396,273.92 × 159,829.30
  4. Step 4: Simplify right side
    287,145.51x = 63,336,183,837.09
  5. Step 5: Solve for x
    x = 63,336,183,837.09/287,145.51
  6. Step 6: Final answer
    x = 220,571.74

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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.