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Finding the Fourth Proportional to 285,436.83, 428,215.37 and 107,939.91

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Solution

The fourth proportional to 285,436.83, 428,215.37 and 107,939.91 is: 161,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,436.83 : 428,215.37 = 107,939.91 : x
  2. Step 2: Convert to fraction form
    285,436.83/428,215.37 = 107,939.91/x
  3. Step 3: Cross multiply
    285,436.83x = 428,215.37 × 107,939.91
  4. Step 4: Simplify right side
    285,436.83x = 46,221,527,958.72
  5. Step 5: Solve for x
    x = 46,221,527,958.72/285,436.83
  6. Step 6: Final answer
    x = 161,932.60

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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.