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Finding the Fourth Proportional to 523,629, 722,608.02 and 285,165

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Solution

The fourth proportional to 523,629, 722,608.02 and 285,165 is: 393,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,629 : 722,608.02 = 285,165 : x
  2. Step 2: Convert to fraction form
    523,629/722,608.02 = 285,165/x
  3. Step 3: Cross multiply
    523,629x = 722,608.02 × 285,165
  4. Step 4: Simplify right side
    523,629x = 206,062,516,023.30
  5. Step 5: Solve for x
    x = 206,062,516,023.30/523,629
  6. Step 6: Final answer
    x = 393,527.70

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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.