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Finding the Fourth Proportional to 287,561.97, 396,837.10 and 166,774.87

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Solution

The fourth proportional to 287,561.97, 396,837.10 and 166,774.87 is: 230,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,561.97 : 396,837.10 = 166,774.87 : x
  2. Step 2: Convert to fraction form
    287,561.97/396,837.10 = 166,774.87/x
  3. Step 3: Cross multiply
    287,561.97x = 396,837.10 × 166,774.87
  4. Step 4: Simplify right side
    287,561.97x = 66,182,455,763.68
  5. Step 5: Solve for x
    x = 66,182,455,763.68/287,561.97
  6. Step 6: Final answer
    x = 230,150.24

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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.