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Finding the Fourth Proportional to 421,969.29, 582,323.13 and 230,978.58

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Solution

The fourth proportional to 421,969.29, 582,323.13 and 230,978.58 is: 318,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,969.29 : 582,323.13 = 230,978.58 : x
  2. Step 2: Convert to fraction form
    421,969.29/582,323.13 = 230,978.58/x
  3. Step 3: Cross multiply
    421,969.29x = 582,323.13 × 230,978.58
  4. Step 4: Simplify right side
    421,969.29x = 134,504,169,668.56
  5. Step 5: Solve for x
    x = 134,504,169,668.56/421,969.29
  6. Step 6: Final answer
    x = 318,753.46

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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.