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Finding the Fourth Proportional to 399,147.98, 598,404 and 230,476.82

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Solution

The fourth proportional to 399,147.98, 598,404 and 230,476.82 is: 345,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,147.98 : 598,404 = 230,476.82 : x
  2. Step 2: Convert to fraction form
    399,147.98/598,404 = 230,476.82/x
  3. Step 3: Cross multiply
    399,147.98x = 598,404 × 230,476.82
  4. Step 4: Simplify right side
    399,147.98x = 137,918,250,995.28
  5. Step 5: Solve for x
    x = 137,918,250,995.28/399,147.98
  6. Step 6: Final answer
    x = 345,531.63

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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.