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Finding the Fourth Proportional to 343,883.80, 515,825.70 and 269,234.20

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Solution

The fourth proportional to 343,883.80, 515,825.70 and 269,234.20 is: 403,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,883.80 : 515,825.70 = 269,234.20 : x
  2. Step 2: Convert to fraction form
    343,883.80/515,825.70 = 269,234.20/x
  3. Step 3: Cross multiply
    343,883.80x = 515,825.70 × 269,234.20
  4. Step 4: Simplify right side
    343,883.80x = 138,877,919,678.94
  5. Step 5: Solve for x
    x = 138,877,919,678.94/343,883.80
  6. Step 6: Final answer
    x = 403,851.30

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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.