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Finding the Fourth Proportional to 393,755.48, 590,370.78 and 191,297.60

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Solution

The fourth proportional to 393,755.48, 590,370.78 and 191,297.60 is: 286,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,755.48 : 590,370.78 = 191,297.60 : x
  2. Step 2: Convert to fraction form
    393,755.48/590,370.78 = 191,297.60/x
  3. Step 3: Cross multiply
    393,755.48x = 590,370.78 × 191,297.60
  4. Step 4: Simplify right side
    393,755.48x = 112,936,513,324.13
  5. Step 5: Solve for x
    x = 112,936,513,324.13/393,755.48
  6. Step 6: Final answer
    x = 286,818.90

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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.