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Finding the Fourth Proportional to 421,798.28, 582,081.62 and 230,811.69

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Solution

The fourth proportional to 421,798.28, 582,081.62 and 230,811.69 is: 318,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,798.28 : 582,081.62 = 230,811.69 : x
  2. Step 2: Convert to fraction form
    421,798.28/582,081.62 = 230,811.69/x
  3. Step 3: Cross multiply
    421,798.28x = 582,081.62 × 230,811.69
  4. Step 4: Simplify right side
    421,798.28x = 134,351,241,276.08
  5. Step 5: Solve for x
    x = 134,351,241,276.08/421,798.28
  6. Step 6: Final answer
    x = 318,520.12

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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.