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Finding the Fourth Proportional to 287,641.44, 396,928.11 and 165,105.51

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Solution

The fourth proportional to 287,641.44, 396,928.11 and 165,105.51 is: 227,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,641.44 : 396,928.11 = 165,105.51 : x
  2. Step 2: Convert to fraction form
    287,641.44/396,928.11 = 165,105.51/x
  3. Step 3: Cross multiply
    287,641.44x = 396,928.11 × 165,105.51
  4. Step 4: Simplify right side
    287,641.44x = 65,535,018,034.89
  5. Step 5: Solve for x
    x = 65,535,018,034.89/287,641.44
  6. Step 6: Final answer
    x = 227,835.80

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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.