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Finding the Fourth Proportional to 391,409.72, 540,145.41 and 221,676.65

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Solution

The fourth proportional to 391,409.72, 540,145.41 and 221,676.65 is: 305,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,409.72 : 540,145.41 = 221,676.65 : x
  2. Step 2: Convert to fraction form
    391,409.72/540,145.41 = 221,676.65/x
  3. Step 3: Cross multiply
    391,409.72x = 540,145.41 × 221,676.65
  4. Step 4: Simplify right side
    391,409.72x = 119,737,624,742.14
  5. Step 5: Solve for x
    x = 119,737,624,742.14/391,409.72
  6. Step 6: Final answer
    x = 305,913.78

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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.