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Finding the Fourth Proportional to 343,808.28, 515,818 and 164,122.98

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Solution

The fourth proportional to 343,808.28, 515,818 and 164,122.98 is: 246,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,808.28 : 515,818 = 164,122.98 : x
  2. Step 2: Convert to fraction form
    343,808.28/515,818 = 164,122.98/x
  3. Step 3: Cross multiply
    343,808.28x = 515,818 × 164,122.98
  4. Step 4: Simplify right side
    343,808.28x = 84,657,587,297.64
  5. Step 5: Solve for x
    x = 84,657,587,297.64/343,808.28
  6. Step 6: Final answer
    x = 246,234.87

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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.