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Finding the Fourth Proportional to 285,049.65, 427,588.25 and 74,687.79

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Solution

The fourth proportional to 285,049.65, 427,588.25 and 74,687.79 is: 112,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,049.65 : 427,588.25 = 74,687.79 : x
  2. Step 2: Convert to fraction form
    285,049.65/427,588.25 = 74,687.79/x
  3. Step 3: Cross multiply
    285,049.65x = 427,588.25 × 74,687.79
  4. Step 4: Simplify right side
    285,049.65x = 31,935,621,049.03
  5. Step 5: Solve for x
    x = 31,935,621,049.03/285,049.65
  6. Step 6: Final answer
    x = 112,035.29

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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.