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Finding the Fourth Proportional to 418,705.69, 627,964.19 and 119,179.63

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Solution

The fourth proportional to 418,705.69, 627,964.19 and 119,179.63 is: 178,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,705.69 : 627,964.19 = 119,179.63 : x
  2. Step 2: Convert to fraction form
    418,705.69/627,964.19 = 119,179.63/x
  3. Step 3: Cross multiply
    418,705.69x = 627,964.19 × 119,179.63
  4. Step 4: Simplify right side
    418,705.69x = 74,840,539,817.45
  5. Step 5: Solve for x
    x = 74,840,539,817.45/418,705.69
  6. Step 6: Final answer
    x = 178,742.59

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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.