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Finding the Fourth Proportional to 419,989.46, 579,564.52 and 238,677.44

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Solution

The fourth proportional to 419,989.46, 579,564.52 and 238,677.44 is: 329,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,989.46 : 579,564.52 = 238,677.44 : x
  2. Step 2: Convert to fraction form
    419,989.46/579,564.52 = 238,677.44/x
  3. Step 3: Cross multiply
    419,989.46x = 579,564.52 × 238,677.44
  4. Step 4: Simplify right side
    419,989.46x = 138,328,972,453.91
  5. Step 5: Solve for x
    x = 138,328,972,453.91/419,989.46
  6. Step 6: Final answer
    x = 329,362.97

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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.