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Finding the Fourth Proportional to 278,692.66, 418,149.75 and 89,182.22

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Solution

The fourth proportional to 278,692.66, 418,149.75 and 89,182.22 is: 133,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,692.66 : 418,149.75 = 89,182.22 : x
  2. Step 2: Convert to fraction form
    278,692.66/418,149.75 = 89,182.22/x
  3. Step 3: Cross multiply
    278,692.66x = 418,149.75 × 89,182.22
  4. Step 4: Simplify right side
    278,692.66x = 37,291,522,997.45
  5. Step 5: Solve for x
    x = 37,291,522,997.45/278,692.66
  6. Step 6: Final answer
    x = 133,808.77

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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.