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Finding the Fourth Proportional to 287,917.44, 397,308.96 and 167,049.36

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Solution

The fourth proportional to 287,917.44, 397,308.96 and 167,049.36 is: 230,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,917.44 : 397,308.96 = 167,049.36 : x
  2. Step 2: Convert to fraction form
    287,917.44/397,308.96 = 167,049.36/x
  3. Step 3: Cross multiply
    287,917.44x = 397,308.96 × 167,049.36
  4. Step 4: Simplify right side
    287,917.44x = 66,370,207,490.27
  5. Step 5: Solve for x
    x = 66,370,207,490.27/287,917.44
  6. Step 6: Final answer
    x = 230,518.19

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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.