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Finding the Fourth Proportional to 418,346.21, 627,269.85 and 165,662.96

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Solution

The fourth proportional to 418,346.21, 627,269.85 and 165,662.96 is: 248,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,346.21 : 627,269.85 = 165,662.96 : x
  2. Step 2: Convert to fraction form
    418,346.21/627,269.85 = 165,662.96/x
  3. Step 3: Cross multiply
    418,346.21x = 627,269.85 × 165,662.96
  4. Step 4: Simplify right side
    418,346.21x = 103,915,376,933.41
  5. Step 5: Solve for x
    x = 103,915,376,933.41/418,346.21
  6. Step 6: Final answer
    x = 248,395.65

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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.