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Finding the Fourth Proportional to 516,309.93, 774,164.18 and 200,397.78

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Solution

The fourth proportional to 516,309.93, 774,164.18 and 200,397.78 is: 300,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,309.93 : 774,164.18 = 200,397.78 : x
  2. Step 2: Convert to fraction form
    516,309.93/774,164.18 = 200,397.78/x
  3. Step 3: Cross multiply
    516,309.93x = 774,164.18 × 200,397.78
  4. Step 4: Simplify right side
    516,309.93x = 155,140,781,513.34
  5. Step 5: Solve for x
    x = 155,140,781,513.34/516,309.93
  6. Step 6: Final answer
    x = 300,479.95

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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.