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Finding the Fourth Proportional to 516,310.98, 774,165.75 and 200,398.83

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Solution

The fourth proportional to 516,310.98, 774,165.75 and 200,398.83 is: 300,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,310.98 : 774,165.75 = 200,398.83 : x
  2. Step 2: Convert to fraction form
    516,310.98/774,165.75 = 200,398.83/x
  3. Step 3: Cross multiply
    516,310.98x = 774,165.75 × 200,398.83
  4. Step 4: Simplify right side
    516,310.98x = 155,141,910,526.07
  5. Step 5: Solve for x
    x = 155,141,910,526.07/516,310.98
  6. Step 6: Final answer
    x = 300,481.52

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1.5x scale

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.