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Finding the Fourth Proportional to 500,581.28, 690,810 and 274,211.84

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Solution

The fourth proportional to 500,581.28, 690,810 and 274,211.84 is: 378,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,581.28 : 690,810 = 274,211.84 : x
  2. Step 2: Convert to fraction form
    500,581.28/690,810 = 274,211.84/x
  3. Step 3: Cross multiply
    500,581.28x = 690,810 × 274,211.84
  4. Step 4: Simplify right side
    500,581.28x = 189,428,281,190.40
  5. Step 5: Solve for x
    x = 189,428,281,190.40/500,581.28
  6. Step 6: Final answer
    x = 378,416.63

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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.