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Finding the Fourth Proportional to 393,768.13, 590,739.67 and 144,450.13

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Solution

The fourth proportional to 393,768.13, 590,739.67 and 144,450.13 is: 216,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,768.13 : 590,739.67 = 144,450.13 : x
  2. Step 2: Convert to fraction form
    393,768.13/590,739.67 = 144,450.13/x
  3. Step 3: Cross multiply
    393,768.13x = 590,739.67 × 144,450.13
  4. Step 4: Simplify right side
    393,768.13x = 85,332,422,127.66
  5. Step 5: Solve for x
    x = 85,332,422,127.66/393,768.13
  6. Step 6: Final answer
    x = 216,707.28

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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.