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Finding the Fourth Proportional to 400,954.50, 553,317.21 and 222,106.50

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Solution

The fourth proportional to 400,954.50, 553,317.21 and 222,106.50 is: 306,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,954.50 : 553,317.21 = 222,106.50 : x
  2. Step 2: Convert to fraction form
    400,954.50/553,317.21 = 222,106.50/x
  3. Step 3: Cross multiply
    400,954.50x = 553,317.21 × 222,106.50
  4. Step 4: Simplify right side
    400,954.50x = 122,895,348,902.87
  5. Step 5: Solve for x
    x = 122,895,348,902.87/400,954.50
  6. Step 6: Final answer
    x = 306,506.97

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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.