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Finding the Fourth Proportional to 399,830, 599,278.44 and 222,252.08

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Solution

The fourth proportional to 399,830, 599,278.44 and 222,252.08 is: 333,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,830 : 599,278.44 = 222,252.08 : x
  2. Step 2: Convert to fraction form
    399,830/599,278.44 = 222,252.08/x
  3. Step 3: Cross multiply
    399,830x = 599,278.44 × 222,252.08
  4. Step 4: Simplify right side
    399,830x = 133,190,879,789.16
  5. Step 5: Solve for x
    x = 133,190,879,789.16/399,830
  6. Step 6: Final answer
    x = 333,118.77

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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.