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Finding the Fourth Proportional to 516,833.28, 775,257.60 and 340,469.76

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Solution

The fourth proportional to 516,833.28, 775,257.60 and 340,469.76 is: 510,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,833.28 : 775,257.60 = 340,469.76 : x
  2. Step 2: Convert to fraction form
    516,833.28/775,257.60 = 340,469.76/x
  3. Step 3: Cross multiply
    516,833.28x = 775,257.60 × 340,469.76
  4. Step 4: Simplify right side
    516,833.28x = 263,951,769,010.18
  5. Step 5: Solve for x
    x = 263,951,769,010.18/516,833.28
  6. Step 6: Final answer
    x = 510,709.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.