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Finding the Fourth Proportional to 516,727.87, 713,108.19 and 287,308.71

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Solution

The fourth proportional to 516,727.87, 713,108.19 and 287,308.71 is: 396,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,727.87 : 713,108.19 = 287,308.71 : x
  2. Step 2: Convert to fraction form
    516,727.87/713,108.19 = 287,308.71/x
  3. Step 3: Cross multiply
    516,727.87x = 713,108.19 × 287,308.71
  4. Step 4: Simplify right side
    516,727.87x = 204,882,195,236.74
  5. Step 5: Solve for x
    x = 204,882,195,236.74/516,727.87
  6. Step 6: Final answer
    x = 396,499.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.