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Finding the Fourth Proportional to 682,392, 1,023,544.89 and 266,502.54

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Solution

The fourth proportional to 682,392, 1,023,544.89 and 266,502.54 is: 399,736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,392 : 1,023,544.89 = 266,502.54 : x
  2. Step 2: Convert to fraction form
    682,392/1,023,544.89 = 266,502.54/x
  3. Step 3: Cross multiply
    682,392x = 1,023,544.89 × 266,502.54
  4. Step 4: Simplify right side
    682,392x = 272,777,312,989.02
  5. Step 5: Solve for x
    x = 272,777,312,989.02/682,392
  6. Step 6: Final answer
    x = 399,736.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.