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Finding the Fourth Proportional to 285,437.58, 428,216.49 and 107,940.66

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Solution

The fourth proportional to 285,437.58, 428,216.49 and 107,940.66 is: 161,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,437.58 : 428,216.49 = 107,940.66 : x
  2. Step 2: Convert to fraction form
    285,437.58/428,216.49 = 107,940.66/x
  3. Step 3: Cross multiply
    285,437.58x = 428,216.49 × 107,940.66
  4. Step 4: Simplify right side
    285,437.58x = 46,221,970,553.48
  5. Step 5: Solve for x
    x = 46,221,970,553.48/285,437.58
  6. Step 6: Final answer
    x = 161,933.72

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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.