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Finding the Fourth Proportional to 401,577.84, 554,189.40 and 222,726

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Solution

The fourth proportional to 401,577.84, 554,189.40 and 222,726 is: 307,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,577.84 : 554,189.40 = 222,726 : x
  2. Step 2: Convert to fraction form
    401,577.84/554,189.40 = 222,726/x
  3. Step 3: Cross multiply
    401,577.84x = 554,189.40 × 222,726
  4. Step 4: Simplify right side
    401,577.84x = 123,432,388,304.40
  5. Step 5: Solve for x
    x = 123,432,388,304.40/401,577.84
  6. Step 6: Final answer
    x = 307,368.52

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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.