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Finding the Fourth Proportional to 343,929.72, 515,695.84 and 133,321.64

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Solution

The fourth proportional to 343,929.72, 515,695.84 and 133,321.64 is: 199,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,929.72 : 515,695.84 = 133,321.64 : x
  2. Step 2: Convert to fraction form
    343,929.72/515,695.84 = 133,321.64/x
  3. Step 3: Cross multiply
    343,929.72x = 515,695.84 × 133,321.64
  4. Step 4: Simplify right side
    343,929.72x = 68,753,415,129.98
  5. Step 5: Solve for x
    x = 68,753,415,129.98/343,929.72
  6. Step 6: Final answer
    x = 199,905.42

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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.