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Finding the Fourth Proportional to 500,751.40, 690,660.21 and 347,789.78

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Solution

The fourth proportional to 500,751.40, 690,660.21 and 347,789.78 is: 479,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,751.40 : 690,660.21 = 347,789.78 : x
  2. Step 2: Convert to fraction form
    500,751.40/690,660.21 = 347,789.78/x
  3. Step 3: Cross multiply
    500,751.40x = 690,660.21 × 347,789.78
  4. Step 4: Simplify right side
    500,751.40x = 240,204,564,217.30
  5. Step 5: Solve for x
    x = 240,204,564,217.30/500,751.40
  6. Step 6: Final answer
    x = 479,688.26

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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.