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Finding the Fourth Proportional to 401,224, 553,689.12 and 222,376

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Solution

The fourth proportional to 401,224, 553,689.12 and 222,376 is: 306,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,224 : 553,689.12 = 222,376 : x
  2. Step 2: Convert to fraction form
    401,224/553,689.12 = 222,376/x
  3. Step 3: Cross multiply
    401,224x = 553,689.12 × 222,376
  4. Step 4: Simplify right side
    401,224x = 123,127,171,749.12
  5. Step 5: Solve for x
    x = 123,127,171,749.12/401,224
  6. Step 6: Final answer
    x = 306,878.88

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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.