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Finding the Fourth Proportional to 287,685.65, 396,997.94 and 160,358.51

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Solution

The fourth proportional to 287,685.65, 396,997.94 and 160,358.51 is: 221,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,685.65 : 396,997.94 = 160,358.51 : x
  2. Step 2: Convert to fraction form
    287,685.65/396,997.94 = 160,358.51/x
  3. Step 3: Cross multiply
    287,685.65x = 396,997.94 × 160,358.51
  4. Step 4: Simplify right side
    287,685.65x = 63,661,997,329.68
  5. Step 5: Solve for x
    x = 63,661,997,329.68/287,685.65
  6. Step 6: Final answer
    x = 221,290.14

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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.