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Finding the Fourth Proportional to 393,081.28, 542,384.16 and 231,924.16

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Solution

The fourth proportional to 393,081.28, 542,384.16 and 231,924.16 is: 320,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,081.28 : 542,384.16 = 231,924.16 : x
  2. Step 2: Convert to fraction form
    393,081.28/542,384.16 = 231,924.16/x
  3. Step 3: Cross multiply
    393,081.28x = 542,384.16 × 231,924.16
  4. Step 4: Simplify right side
    393,081.28x = 125,791,990,705.31
  5. Step 5: Solve for x
    x = 125,791,990,705.31/393,081.28
  6. Step 6: Final answer
    x = 320,015.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.