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Finding the Fourth Proportional to 275,692.80, 413,020.80 and 142,118.40

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Solution

The fourth proportional to 275,692.80, 413,020.80 and 142,118.40 is: 212,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,692.80 : 413,020.80 = 142,118.40 : x
  2. Step 2: Convert to fraction form
    275,692.80/413,020.80 = 142,118.40/x
  3. Step 3: Cross multiply
    275,692.80x = 413,020.80 × 142,118.40
  4. Step 4: Simplify right side
    275,692.80x = 58,697,855,262.72
  5. Step 5: Solve for x
    x = 58,697,855,262.72/275,692.80
  6. Step 6: Final answer
    x = 212,910.37

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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.