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Finding the Fourth Proportional to 393,906.40, 591,151.20 and 157,418.80

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Solution

The fourth proportional to 393,906.40, 591,151.20 and 157,418.80 is: 236,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,906.40 : 591,151.20 = 157,418.80 : x
  2. Step 2: Convert to fraction form
    393,906.40/591,151.20 = 157,418.80/x
  3. Step 3: Cross multiply
    393,906.40x = 591,151.20 × 157,418.80
  4. Step 4: Simplify right side
    393,906.40x = 93,058,312,522.56
  5. Step 5: Solve for x
    x = 93,058,312,522.56/393,906.40
  6. Step 6: Final answer
    x = 236,244.73

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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.