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Finding the Fourth Proportional to 287,456.46, 431,184.69 and 110,017.86

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Solution

The fourth proportional to 287,456.46, 431,184.69 and 110,017.86 is: 165,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,456.46 : 431,184.69 = 110,017.86 : x
  2. Step 2: Convert to fraction form
    287,456.46/431,184.69 = 110,017.86/x
  3. Step 3: Cross multiply
    287,456.46x = 431,184.69 × 110,017.86
  4. Step 4: Simplify right side
    287,456.46x = 47,438,016,858.56
  5. Step 5: Solve for x
    x = 47,438,016,858.56/287,456.46
  6. Step 6: Final answer
    x = 165,026.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.