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Finding the Fourth Proportional to 421,814.92, 582,104.62 and 230,828.32

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Solution

The fourth proportional to 421,814.92, 582,104.62 and 230,828.32 is: 318,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,814.92 : 582,104.62 = 230,828.32 : x
  2. Step 2: Convert to fraction form
    421,814.92/582,104.62 = 230,828.32/x
  3. Step 3: Cross multiply
    421,814.92x = 582,104.62 × 230,828.32
  4. Step 4: Simplify right side
    421,814.92x = 134,366,231,498.84
  5. Step 5: Solve for x
    x = 134,366,231,498.84/421,814.92
  6. Step 6: Final answer
    x = 318,543.10

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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.