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Finding the Fourth Proportional to 418,433.45, 627,644.70 and 102,893.09

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Solution

The fourth proportional to 418,433.45, 627,644.70 and 102,893.09 is: 154,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,433.45 : 627,644.70 = 102,893.09 : x
  2. Step 2: Convert to fraction form
    418,433.45/627,644.70 = 102,893.09/x
  3. Step 3: Cross multiply
    418,433.45x = 627,644.70 × 102,893.09
  4. Step 4: Simplify right side
    418,433.45x = 64,580,302,605.12
  5. Step 5: Solve for x
    x = 64,580,302,605.12/418,433.45
  6. Step 6: Final answer
    x = 154,338.29

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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.