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Finding the Fourth Proportional to 391,497.09, 540,247.91 and 221,732.43

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Solution

The fourth proportional to 391,497.09, 540,247.91 and 221,732.43 is: 305,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,497.09 : 540,247.91 = 221,732.43 : x
  2. Step 2: Convert to fraction form
    391,497.09/540,247.91 = 221,732.43/x
  3. Step 3: Cross multiply
    391,497.09x = 540,247.91 × 221,732.43
  4. Step 4: Simplify right side
    391,497.09x = 119,790,480,778.06
  5. Step 5: Solve for x
    x = 119,790,480,778.06/391,497.09
  6. Step 6: Final answer
    x = 305,980.51

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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.