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Finding the Fourth Proportional to 400,916, 553,281.36 and 222,068

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Solution

The fourth proportional to 400,916, 553,281.36 and 222,068 is: 306,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,916 : 553,281.36 = 222,068 : x
  2. Step 2: Convert to fraction form
    400,916/553,281.36 = 222,068/x
  3. Step 3: Cross multiply
    400,916x = 553,281.36 × 222,068
  4. Step 4: Simplify right side
    400,916x = 122,866,085,052.48
  5. Step 5: Solve for x
    x = 122,866,085,052.48/400,916
  6. Step 6: Final answer
    x = 306,463.41

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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.