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Finding the Fourth Proportional to 523,078.84, 721,842.06 and 308,227.96

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Solution

The fourth proportional to 523,078.84, 721,842.06 and 308,227.96 is: 425,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,078.84 : 721,842.06 = 308,227.96 : x
  2. Step 2: Convert to fraction form
    523,078.84/721,842.06 = 308,227.96/x
  3. Step 3: Cross multiply
    523,078.84x = 721,842.06 × 308,227.96
  4. Step 4: Simplify right side
    523,078.84x = 222,491,905,596.00
  5. Step 5: Solve for x
    x = 222,491,905,596.00/523,078.84
  6. Step 6: Final answer
    x = 425,350.61

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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.