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Finding the Fourth Proportional to 420,789.92, 631,578.54 and 207,798.33

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Solution

The fourth proportional to 420,789.92, 631,578.54 and 207,798.33 is: 311,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,789.92 : 631,578.54 = 207,798.33 : x
  2. Step 2: Convert to fraction form
    420,789.92/631,578.54 = 207,798.33/x
  3. Step 3: Cross multiply
    420,789.92x = 631,578.54 × 207,798.33
  4. Step 4: Simplify right side
    420,789.92x = 131,240,967,465.01
  5. Step 5: Solve for x
    x = 131,240,967,465.01/420,789.92
  6. Step 6: Final answer
    x = 311,891.90

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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.