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Finding the Fourth Proportional to 343,897.97, 515,949.45 and 164,118.36

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Solution

The fourth proportional to 343,897.97, 515,949.45 and 164,118.36 is: 246,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,897.97 : 515,949.45 = 164,118.36 : x
  2. Step 2: Convert to fraction form
    343,897.97/515,949.45 = 164,118.36/x
  3. Step 3: Cross multiply
    343,897.97x = 515,949.45 × 164,118.36
  4. Step 4: Simplify right side
    343,897.97x = 84,676,777,576.90
  5. Step 5: Solve for x
    x = 84,676,777,576.90/343,897.97
  6. Step 6: Final answer
    x = 246,226.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.