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Finding the Fourth Proportional to 516,393.09, 774,291.66 and 200,480.94

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Solution

The fourth proportional to 516,393.09, 774,291.66 and 200,480.94 is: 300,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,393.09 : 774,291.66 = 200,480.94 : x
  2. Step 2: Convert to fraction form
    516,393.09/774,291.66 = 200,480.94/x
  3. Step 3: Cross multiply
    516,393.09x = 774,291.66 × 200,480.94
  4. Step 4: Simplify right side
    516,393.09x = 155,230,719,079.16
  5. Step 5: Solve for x
    x = 155,230,719,079.16/516,393.09
  6. Step 6: Final answer
    x = 300,605.72

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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.