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Finding the Fourth Proportional to 399,142.98, 598,396.50 and 230,471.82

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Solution

The fourth proportional to 399,142.98, 598,396.50 and 230,471.82 is: 345,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,142.98 : 598,396.50 = 230,471.82 : x
  2. Step 2: Convert to fraction form
    399,142.98/598,396.50 = 230,471.82/x
  3. Step 3: Cross multiply
    399,142.98x = 598,396.50 × 230,471.82
  4. Step 4: Simplify right side
    399,142.98x = 137,913,530,436.63
  5. Step 5: Solve for x
    x = 137,913,530,436.63/399,142.98
  6. Step 6: Final answer
    x = 345,524.13

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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.