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Finding the Fourth Proportional to 391,857.97, 540,769.93 and 219,814.07

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Solution

The fourth proportional to 391,857.97, 540,769.93 and 219,814.07 is: 303,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,857.97 : 540,769.93 = 219,814.07 : x
  2. Step 2: Convert to fraction form
    391,857.97/540,769.93 = 219,814.07/x
  3. Step 3: Cross multiply
    391,857.97x = 540,769.93 × 219,814.07
  4. Step 4: Simplify right side
    391,857.97x = 118,868,838,147.85
  5. Step 5: Solve for x
    x = 118,868,838,147.85/391,857.97
  6. Step 6: Final answer
    x = 303,346.74

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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.