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Finding the Fourth Proportional to 516,856.05, 775,321.01 and 137,774.83

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Solution

The fourth proportional to 516,856.05, 775,321.01 and 137,774.83 is: 206,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,856.05 : 775,321.01 = 137,774.83 : x
  2. Step 2: Convert to fraction form
    516,856.05/775,321.01 = 137,774.83/x
  3. Step 3: Cross multiply
    516,856.05x = 775,321.01 × 137,774.83
  4. Step 4: Simplify right side
    516,856.05x = 106,819,722,646.96
  5. Step 5: Solve for x
    x = 106,819,722,646.96/516,856.05
  6. Step 6: Final answer
    x = 206,672.10

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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.