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Finding the Fourth Proportional to 285,342.65, 427,913.01 and 82,896.64

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Solution

The fourth proportional to 285,342.65, 427,913.01 and 82,896.64 is: 124,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,342.65 : 427,913.01 = 82,896.64 : x
  2. Step 2: Convert to fraction form
    285,342.65/427,913.01 = 82,896.64/x
  3. Step 3: Cross multiply
    285,342.65x = 427,913.01 × 82,896.64
  4. Step 4: Simplify right side
    285,342.65x = 35,472,548,601.72
  5. Step 5: Solve for x
    x = 35,472,548,601.72/285,342.65
  6. Step 6: Final answer
    x = 124,315.62

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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.