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Finding the Fourth Proportional to 343,674.60, 515,511.90 and 299,387.85

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Solution

The fourth proportional to 343,674.60, 515,511.90 and 299,387.85 is: 449,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,674.60 : 515,511.90 = 299,387.85 : x
  2. Step 2: Convert to fraction form
    343,674.60/515,511.90 = 299,387.85/x
  3. Step 3: Cross multiply
    343,674.60x = 515,511.90 × 299,387.85
  4. Step 4: Simplify right side
    343,674.60x = 154,337,999,390.42
  5. Step 5: Solve for x
    x = 154,337,999,390.42/343,674.60
  6. Step 6: Final answer
    x = 449,081.78

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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.