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Finding the Fourth Proportional to 287,648.90, 396,947.60 and 165,137.66

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Solution

The fourth proportional to 287,648.90, 396,947.60 and 165,137.66 is: 227,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,648.90 : 396,947.60 = 165,137.66 : x
  2. Step 2: Convert to fraction form
    287,648.90/396,947.60 = 165,137.66/x
  3. Step 3: Cross multiply
    287,648.90x = 396,947.60 × 165,137.66
  4. Step 4: Simplify right side
    287,648.90x = 65,550,997,806.62
  5. Step 5: Solve for x
    x = 65,550,997,806.62/287,648.90
  6. Step 6: Final answer
    x = 227,885.45

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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.