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Finding the Fourth Proportional to 393,449.16, 590,764.14 and 225,159.51

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Solution

The fourth proportional to 393,449.16, 590,764.14 and 225,159.51 is: 338,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,449.16 : 590,764.14 = 225,159.51 : x
  2. Step 2: Convert to fraction form
    393,449.16/590,764.14 = 225,159.51/x
  3. Step 3: Cross multiply
    393,449.16x = 590,764.14 × 225,159.51
  4. Step 4: Simplify right side
    393,449.16x = 133,016,164,287.97
  5. Step 5: Solve for x
    x = 133,016,164,287.97/393,449.16
  6. Step 6: Final answer
    x = 338,077.13

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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.