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Finding the Fourth Proportional to 565,227.92, 780,769.32 and 396,022.16

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Solution

The fourth proportional to 565,227.92, 780,769.32 and 396,022.16 is: 547,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,227.92 : 780,769.32 = 396,022.16 : x
  2. Step 2: Convert to fraction form
    565,227.92/780,769.32 = 396,022.16/x
  3. Step 3: Cross multiply
    565,227.92x = 780,769.32 × 396,022.16
  4. Step 4: Simplify right side
    565,227.92x = 309,201,952,568.13
  5. Step 5: Solve for x
    x = 309,201,952,568.13/565,227.92
  6. Step 6: Final answer
    x = 547,039.42

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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.