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Finding the Fourth Proportional to 401,246, 553,720.44 and 222,398

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Solution

The fourth proportional to 401,246, 553,720.44 and 222,398 is: 306,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,246 : 553,720.44 = 222,398 : x
  2. Step 2: Convert to fraction form
    401,246/553,720.44 = 222,398/x
  3. Step 3: Cross multiply
    401,246x = 553,720.44 × 222,398
  4. Step 4: Simplify right side
    401,246x = 123,146,318,415.12
  5. Step 5: Solve for x
    x = 123,146,318,415.12/401,246
  6. Step 6: Final answer
    x = 306,909.77

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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.