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Finding the Fourth Proportional to 287,890.65, 431,891.33 and 110,383.82

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Solution

The fourth proportional to 287,890.65, 431,891.33 and 110,383.82 is: 165,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,890.65 : 431,891.33 = 110,383.82 : x
  2. Step 2: Convert to fraction form
    287,890.65/431,891.33 = 110,383.82/x
  3. Step 3: Cross multiply
    287,890.65x = 431,891.33 × 110,383.82
  4. Step 4: Simplify right side
    287,890.65x = 47,673,812,118.90
  5. Step 5: Solve for x
    x = 47,673,812,118.90/287,890.65
  6. Step 6: Final answer
    x = 165,596.94

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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.