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Finding the Fourth Proportional to 418,241.21, 627,009.12 and 181,405.51

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Solution

The fourth proportional to 418,241.21, 627,009.12 and 181,405.51 is: 271,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,241.21 : 627,009.12 = 181,405.51 : x
  2. Step 2: Convert to fraction form
    418,241.21/627,009.12 = 181,405.51/x
  3. Step 3: Cross multiply
    418,241.21x = 627,009.12 × 181,405.51
  4. Step 4: Simplify right side
    418,241.21x = 113,742,907,620.73
  5. Step 5: Solve for x
    x = 113,742,907,620.73/418,241.21
  6. Step 6: Final answer
    x = 271,955.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.