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Finding the Fourth Proportional to 280,243.75, 420,287.79 and 77,793.31

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Solution

The fourth proportional to 280,243.75, 420,287.79 and 77,793.31 is: 116,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,243.75 : 420,287.79 = 77,793.31 : x
  2. Step 2: Convert to fraction form
    280,243.75/420,287.79 = 77,793.31/x
  3. Step 3: Cross multiply
    280,243.75x = 420,287.79 × 77,793.31
  4. Step 4: Simplify right side
    280,243.75x = 32,695,578,716.18
  5. Step 5: Solve for x
    x = 32,695,578,716.18/280,243.75
  6. Step 6: Final answer
    x = 116,668.36

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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.