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Finding the Fourth Proportional to 399,143.98, 598,398 and 230,472.82

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Solution

The fourth proportional to 399,143.98, 598,398 and 230,472.82 is: 345,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,143.98 : 598,398 = 230,472.82 : x
  2. Step 2: Convert to fraction form
    399,143.98/598,398 = 230,472.82/x
  3. Step 3: Cross multiply
    399,143.98x = 598,398 × 230,472.82
  4. Step 4: Simplify right side
    399,143.98x = 137,914,474,542.36
  5. Step 5: Solve for x
    x = 137,914,474,542.36/399,143.98
  6. Step 6: Final answer
    x = 345,525.63

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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.