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Finding the Fourth Proportional to 419,326, 578,682.84 and 240,478

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Solution

The fourth proportional to 419,326, 578,682.84 and 240,478 is: 331,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,326 : 578,682.84 = 240,478 : x
  2. Step 2: Convert to fraction form
    419,326/578,682.84 = 240,478/x
  3. Step 3: Cross multiply
    419,326x = 578,682.84 × 240,478
  4. Step 4: Simplify right side
    419,326x = 139,160,491,997.52
  5. Step 5: Solve for x
    x = 139,160,491,997.52/419,326
  6. Step 6: Final answer
    x = 331,867.07

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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.