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Finding the Fourth Proportional to 287,559.78, 396,795.69 and 166,684.38

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Solution

The fourth proportional to 287,559.78, 396,795.69 and 166,684.38 is: 230,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,559.78 : 396,795.69 = 166,684.38 : x
  2. Step 2: Convert to fraction form
    287,559.78/396,795.69 = 166,684.38/x
  3. Step 3: Cross multiply
    287,559.78x = 396,795.69 × 166,684.38
  4. Step 4: Simplify right side
    287,559.78x = 66,139,643,574.32
  5. Step 5: Solve for x
    x = 66,139,643,574.32/287,559.78
  6. Step 6: Final answer
    x = 230,003.11

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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.