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Finding the Fourth Proportional to 421,958.52, 582,302.94 and 230,973

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Solution

The fourth proportional to 421,958.52, 582,302.94 and 230,973 is: 318,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,958.52 : 582,302.94 = 230,973 : x
  2. Step 2: Convert to fraction form
    421,958.52/582,302.94 = 230,973/x
  3. Step 3: Cross multiply
    421,958.52x = 582,302.94 × 230,973
  4. Step 4: Simplify right side
    421,958.52x = 134,496,256,960.62
  5. Step 5: Solve for x
    x = 134,496,256,960.62/421,958.52
  6. Step 6: Final answer
    x = 318,742.84

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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.