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Finding the Fourth Proportional to 516,901.85, 774,678.91 and 263,969.15

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Solution

The fourth proportional to 516,901.85, 774,678.91 and 263,969.15 is: 395,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,901.85 : 774,678.91 = 263,969.15 : x
  2. Step 2: Convert to fraction form
    516,901.85/774,678.91 = 263,969.15/x
  3. Step 3: Cross multiply
    516,901.85x = 774,678.91 × 263,969.15
  4. Step 4: Simplify right side
    516,901.85x = 204,491,336,636.02
  5. Step 5: Solve for x
    x = 204,491,336,636.02/516,901.85
  6. Step 6: Final answer
    x = 395,609.60

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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.