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Finding the Fourth Proportional to 419,505.91, 578,915.17 and 228,519.29

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Solution

The fourth proportional to 419,505.91, 578,915.17 and 228,519.29 is: 315,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,505.91 : 578,915.17 = 228,519.29 : x
  2. Step 2: Convert to fraction form
    419,505.91/578,915.17 = 228,519.29/x
  3. Step 3: Cross multiply
    419,505.91x = 578,915.17 × 228,519.29
  4. Step 4: Simplify right side
    419,505.91x = 132,293,284,494.62
  5. Step 5: Solve for x
    x = 132,293,284,494.62/419,505.91
  6. Step 6: Final answer
    x = 315,355.00

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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.