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Finding the Fourth Proportional to 421,959.52, 582,304.32 and 230,974

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Solution

The fourth proportional to 421,959.52, 582,304.32 and 230,974 is: 318,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,959.52 : 582,304.32 = 230,974 : x
  2. Step 2: Convert to fraction form
    421,959.52/582,304.32 = 230,974/x
  3. Step 3: Cross multiply
    421,959.52x = 582,304.32 × 230,974
  4. Step 4: Simplify right side
    421,959.52x = 134,497,158,007.68
  5. Step 5: Solve for x
    x = 134,497,158,007.68/421,959.52
  6. Step 6: Final answer
    x = 318,744.22

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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.