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Finding the Fourth Proportional to 421,998.38, 582,358.74 and 231,024.08

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Solution

The fourth proportional to 421,998.38, 582,358.74 and 231,024.08 is: 318,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,998.38 : 582,358.74 = 231,024.08 : x
  2. Step 2: Convert to fraction form
    421,998.38/582,358.74 = 231,024.08/x
  3. Step 3: Cross multiply
    421,998.38x = 582,358.74 × 231,024.08
  4. Step 4: Simplify right side
    421,998.38x = 134,538,892,138.46
  5. Step 5: Solve for x
    x = 134,538,892,138.46/421,998.38
  6. Step 6: Final answer
    x = 318,813.76

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1.5x scale

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.