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Finding the Fourth Proportional to 401,464, 554,020.32 and 222,616

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Solution

The fourth proportional to 401,464, 554,020.32 and 222,616 is: 307,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,464 : 554,020.32 = 222,616 : x
  2. Step 2: Convert to fraction form
    401,464/554,020.32 = 222,616/x
  3. Step 3: Cross multiply
    401,464x = 554,020.32 × 222,616
  4. Step 4: Simplify right side
    401,464x = 123,333,787,557.12
  5. Step 5: Solve for x
    x = 123,333,787,557.12/401,464
  6. Step 6: Final answer
    x = 307,210.08

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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.