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Finding the Fourth Proportional to 401,248, 553,723.20 and 222,400

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Solution

The fourth proportional to 401,248, 553,723.20 and 222,400 is: 306,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,248 : 553,723.20 = 222,400 : x
  2. Step 2: Convert to fraction form
    401,248/553,723.20 = 222,400/x
  3. Step 3: Cross multiply
    401,248x = 553,723.20 × 222,400
  4. Step 4: Simplify right side
    401,248x = 123,148,039,680.00
  5. Step 5: Solve for x
    x = 123,148,039,680.00/401,248
  6. Step 6: Final answer
    x = 306,912.53

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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.