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Finding the Fourth Proportional to 516,398.15, 774,299.25 and 200,486.00

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Solution

The fourth proportional to 516,398.15, 774,299.25 and 200,486.00 is: 300,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,398.15 : 774,299.25 = 200,486.00 : x
  2. Step 2: Convert to fraction form
    516,398.15/774,299.25 = 200,486.00/x
  3. Step 3: Cross multiply
    516,398.15x = 774,299.25 × 200,486.00
  4. Step 4: Simplify right side
    516,398.15x = 155,236,161,371.25
  5. Step 5: Solve for x
    x = 155,236,161,371.25/516,398.15
  6. Step 6: Final answer
    x = 300,613.32

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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.