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Finding the Fourth Proportional to 285,511.80, 428,121.90 and 105,588.12

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Solution

The fourth proportional to 285,511.80, 428,121.90 and 105,588.12 is: 158,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,511.80 : 428,121.90 = 105,588.12 : x
  2. Step 2: Convert to fraction form
    285,511.80/428,121.90 = 105,588.12/x
  3. Step 3: Cross multiply
    285,511.80x = 428,121.90 × 105,588.12
  4. Step 4: Simplify right side
    285,511.80x = 45,204,586,551.83
  5. Step 5: Solve for x
    x = 45,204,586,551.83/285,511.80
  6. Step 6: Final answer
    x = 158,328.26

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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.