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Finding the Fourth Proportional to 224,778.32, 310,181.64 and 129,286.62

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Solution

The fourth proportional to 224,778.32, 310,181.64 and 129,286.62 is: 178,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,778.32 : 310,181.64 = 129,286.62 : x
  2. Step 2: Convert to fraction form
    224,778.32/310,181.64 = 129,286.62/x
  3. Step 3: Cross multiply
    224,778.32x = 310,181.64 × 129,286.62
  4. Step 4: Simplify right side
    224,778.32x = 40,102,335,821.66
  5. Step 5: Solve for x
    x = 40,102,335,821.66/224,778.32
  6. Step 6: Final answer
    x = 178,408.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.