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Finding the Fourth Proportional to 421,493.28, 582,315.66 and 353,404.68

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Solution

The fourth proportional to 421,493.28, 582,315.66 and 353,404.68 is: 488,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,493.28 : 582,315.66 = 353,404.68 : x
  2. Step 2: Convert to fraction form
    421,493.28/582,315.66 = 353,404.68/x
  3. Step 3: Cross multiply
    421,493.28x = 582,315.66 × 353,404.68
  4. Step 4: Simplify right side
    421,493.28x = 205,793,079,481.29
  5. Step 5: Solve for x
    x = 205,793,079,481.29/421,493.28
  6. Step 6: Final answer
    x = 488,247.59

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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.