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Finding the Fourth Proportional to 401,466, 554,023.08 and 222,618

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Solution

The fourth proportional to 401,466, 554,023.08 and 222,618 is: 307,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,466 : 554,023.08 = 222,618 : x
  2. Step 2: Convert to fraction form
    401,466/554,023.08 = 222,618/x
  3. Step 3: Cross multiply
    401,466x = 554,023.08 × 222,618
  4. Step 4: Simplify right side
    401,466x = 123,335,510,023.44
  5. Step 5: Solve for x
    x = 123,335,510,023.44/401,466
  6. Step 6: Final answer
    x = 307,212.84

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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.