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Finding the Fourth Proportional to 401,057.28, 553,459.02 and 222,209.28

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Solution

The fourth proportional to 401,057.28, 553,459.02 and 222,209.28 is: 306,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,057.28 : 553,459.02 = 222,209.28 : x
  2. Step 2: Convert to fraction form
    401,057.28/553,459.02 = 222,209.28/x
  3. Step 3: Cross multiply
    401,057.28x = 553,459.02 × 222,209.28
  4. Step 4: Simplify right side
    401,057.28x = 122,983,730,343.71
  5. Step 5: Solve for x
    x = 122,983,730,343.71/401,057.28
  6. Step 6: Final answer
    x = 306,648.79

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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.