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Finding the Fourth Proportional to 343,761.97, 515,656.78 and 163,754.86

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Solution

The fourth proportional to 343,761.97, 515,656.78 and 163,754.86 is: 245,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,761.97 : 515,656.78 = 163,754.86 : x
  2. Step 2: Convert to fraction form
    343,761.97/515,656.78 = 163,754.86/x
  3. Step 3: Cross multiply
    343,761.97x = 515,656.78 × 163,754.86
  4. Step 4: Simplify right side
    343,761.97x = 84,441,302,998.18
  5. Step 5: Solve for x
    x = 84,441,302,998.18/343,761.97
  6. Step 6: Final answer
    x = 245,638.87

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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.