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Finding the Fourth Proportional to 343,720.80, 515,381.37 and 229,998.56

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Solution

The fourth proportional to 343,720.80, 515,381.37 and 229,998.56 is: 344,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,720.80 : 515,381.37 = 229,998.56 : x
  2. Step 2: Convert to fraction form
    343,720.80/515,381.37 = 229,998.56/x
  3. Step 3: Cross multiply
    343,720.80x = 515,381.37 × 229,998.56
  4. Step 4: Simplify right side
    343,720.80x = 118,536,969,511.43
  5. Step 5: Solve for x
    x = 118,536,969,511.43/343,720.80
  6. Step 6: Final answer
    x = 344,864.12

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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.