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Finding the Fourth Proportional to 287,426.75, 431,324.66 and 192,763.84

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Solution

The fourth proportional to 287,426.75, 431,324.66 and 192,763.84 is: 289,269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,426.75 : 431,324.66 = 192,763.84 : x
  2. Step 2: Convert to fraction form
    287,426.75/431,324.66 = 192,763.84/x
  3. Step 3: Cross multiply
    287,426.75x = 431,324.66 × 192,763.84
  4. Step 4: Simplify right side
    287,426.75x = 83,143,797,748.29
  5. Step 5: Solve for x
    x = 83,143,797,748.29/287,426.75
  6. Step 6: Final answer
    x = 289,269.52

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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.