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Finding the Fourth Proportional to 343,929.92, 515,414.21 and 293,063.31

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Solution

The fourth proportional to 343,929.92, 515,414.21 and 293,063.31 is: 439,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,929.92 : 515,414.21 = 293,063.31 : x
  2. Step 2: Convert to fraction form
    343,929.92/515,414.21 = 293,063.31/x
  3. Step 3: Cross multiply
    343,929.92x = 515,414.21 × 293,063.31
  4. Step 4: Simplify right side
    343,929.92x = 151,048,992,938.32
  5. Step 5: Solve for x
    x = 151,048,992,938.32/343,929.92
  6. Step 6: Final answer
    x = 439,185.39

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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.