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Finding the Fourth Proportional to 429,107.22, 643,692.42 and 113,562

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Solution

The fourth proportional to 429,107.22, 643,692.42 and 113,562 is: 170,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,107.22 : 643,692.42 = 113,562 : x
  2. Step 2: Convert to fraction form
    429,107.22/643,692.42 = 113,562/x
  3. Step 3: Cross multiply
    429,107.22x = 643,692.42 × 113,562
  4. Step 4: Simplify right side
    429,107.22x = 73,098,998,600.04
  5. Step 5: Solve for x
    x = 73,098,998,600.04/429,107.22
  6. Step 6: Final answer
    x = 170,351.36

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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.