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Finding the Fourth Proportional to 419,770.17, 579,296.37 and 238,478.81

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Solution

The fourth proportional to 419,770.17, 579,296.37 and 238,478.81 is: 329,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,770.17 : 579,296.37 = 238,478.81 : x
  2. Step 2: Convert to fraction form
    419,770.17/579,296.37 = 238,478.81/x
  3. Step 3: Cross multiply
    419,770.17x = 579,296.37 × 238,478.81
  4. Step 4: Simplify right side
    419,770.17x = 138,149,906,058.44
  5. Step 5: Solve for x
    x = 138,149,906,058.44/419,770.17
  6. Step 6: Final answer
    x = 329,108.44

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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.