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Finding the Fourth Proportional to 978,770.98, 1,467,874.59 and 268,822.18

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Solution

The fourth proportional to 978,770.98, 1,467,874.59 and 268,822.18 is: 403,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,770.98 : 1,467,874.59 = 268,822.18 : x
  2. Step 2: Convert to fraction form
    978,770.98/1,467,874.59 = 268,822.18/x
  3. Step 3: Cross multiply
    978,770.98x = 1,467,874.59 × 268,822.18
  4. Step 4: Simplify right side
    978,770.98x = 394,597,247,250.41
  5. Step 5: Solve for x
    x = 394,597,247,250.41/978,770.98
  6. Step 6: Final answer
    x = 403,155.85

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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.