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Finding the Fourth Proportional to 405,964.09, 560,211.15 and 222,198.58

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Solution

The fourth proportional to 405,964.09, 560,211.15 and 222,198.58 is: 306,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,964.09 : 560,211.15 = 222,198.58 : x
  2. Step 2: Convert to fraction form
    405,964.09/560,211.15 = 222,198.58/x
  3. Step 3: Cross multiply
    405,964.09x = 560,211.15 × 222,198.58
  4. Step 4: Simplify right side
    405,964.09x = 124,478,122,030.17
  5. Step 5: Solve for x
    x = 124,478,122,030.17/405,964.09
  6. Step 6: Final answer
    x = 306,623.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.