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Finding the Fourth Proportional to 306,310.82, 422,646.99 and 178,961.81

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Solution

The fourth proportional to 306,310.82, 422,646.99 and 178,961.81 is: 246,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,310.82 : 422,646.99 = 178,961.81 : x
  2. Step 2: Convert to fraction form
    306,310.82/422,646.99 = 178,961.81/x
  3. Step 3: Cross multiply
    306,310.82x = 422,646.99 × 178,961.81
  4. Step 4: Simplify right side
    306,310.82x = 75,637,670,321.45
  5. Step 5: Solve for x
    x = 75,637,670,321.45/306,310.82
  6. Step 6: Final answer
    x = 246,931.11

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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.