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Finding the Fourth Proportional to 458,269.64, 687,182.24 and 268,791.90

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Solution

The fourth proportional to 458,269.64, 687,182.24 and 268,791.90 is: 403,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,269.64 : 687,182.24 = 268,791.90 : x
  2. Step 2: Convert to fraction form
    458,269.64/687,182.24 = 268,791.90/x
  3. Step 3: Cross multiply
    458,269.64x = 687,182.24 × 268,791.90
  4. Step 4: Simplify right side
    458,269.64x = 184,709,019,935.86
  5. Step 5: Solve for x
    x = 184,709,019,935.86/458,269.64
  6. Step 6: Final answer
    x = 403,057.51

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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.