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Finding the Fourth Proportional to 418,245.22, 627,015.12 and 181,409.50

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Solution

The fourth proportional to 418,245.22, 627,015.12 and 181,409.50 is: 271,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,245.22 : 627,015.12 = 181,409.50 : x
  2. Step 2: Convert to fraction form
    418,245.22/627,015.12 = 181,409.50/x
  3. Step 3: Cross multiply
    418,245.22x = 627,015.12 × 181,409.50
  4. Step 4: Simplify right side
    418,245.22x = 113,746,499,411.64
  5. Step 5: Solve for x
    x = 113,746,499,411.64/418,245.22
  6. Step 6: Final answer
    x = 271,961.27

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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.