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Finding the Fourth Proportional to 399,215.40, 598,906.30 and 133,058.60

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Solution

The fourth proportional to 399,215.40, 598,906.30 and 133,058.60 is: 199,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,215.40 : 598,906.30 = 133,058.60 : x
  2. Step 2: Convert to fraction form
    399,215.40/598,906.30 = 133,058.60/x
  3. Step 3: Cross multiply
    399,215.40x = 598,906.30 × 133,058.60
  4. Step 4: Simplify right side
    399,215.40x = 79,689,633,809.18
  5. Step 5: Solve for x
    x = 79,689,633,809.18/399,215.40
  6. Step 6: Final answer
    x = 199,615.63

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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.