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Finding the Fourth Proportional to 305,288.78, 420,811.91 and 240,652.69

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Solution

The fourth proportional to 305,288.78, 420,811.91 and 240,652.69 is: 331,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,288.78 : 420,811.91 = 240,652.69 : x
  2. Step 2: Convert to fraction form
    305,288.78/420,811.91 = 240,652.69/x
  3. Step 3: Cross multiply
    305,288.78x = 420,811.91 × 240,652.69
  4. Step 4: Simplify right side
    305,288.78x = 101,269,516,922.27
  5. Step 5: Solve for x
    x = 101,269,516,922.27/305,288.78
  6. Step 6: Final answer
    x = 331,717.13

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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.