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Finding the Fourth Proportional to 401,051.75, 553,451.42 and 222,203.75

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Solution

The fourth proportional to 401,051.75, 553,451.42 and 222,203.75 is: 306,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,051.75 : 553,451.42 = 222,203.75 : x
  2. Step 2: Convert to fraction form
    401,051.75/553,451.42 = 222,203.75/x
  3. Step 3: Cross multiply
    401,051.75x = 553,451.42 × 222,203.75
  4. Step 4: Simplify right side
    401,051.75x = 122,978,979,855.81
  5. Step 5: Solve for x
    x = 122,978,979,855.81/401,051.75
  6. Step 6: Final answer
    x = 306,641.18

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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.