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Finding the Fourth Proportional to 285,696.24, 428,624.60 and 105,778.96

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Solution

The fourth proportional to 285,696.24, 428,624.60 and 105,778.96 is: 158,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,696.24 : 428,624.60 = 105,778.96 : x
  2. Step 2: Convert to fraction form
    285,696.24/428,624.60 = 105,778.96/x
  3. Step 3: Cross multiply
    285,696.24x = 428,624.60 × 105,778.96
  4. Step 4: Simplify right side
    285,696.24x = 45,339,464,418.42
  5. Step 5: Solve for x
    x = 45,339,464,418.42/285,696.24
  6. Step 6: Final answer
    x = 158,698.15

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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.