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Finding the Fourth Proportional to 516,736, 713,119.43 and 287,316.82

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Solution

The fourth proportional to 516,736, 713,119.43 and 287,316.82 is: 396,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,736 : 713,119.43 = 287,316.82 : x
  2. Step 2: Convert to fraction form
    516,736/713,119.43 = 287,316.82/x
  3. Step 3: Cross multiply
    516,736x = 713,119.43 × 287,316.82
  4. Step 4: Simplify right side
    516,736x = 204,891,206,907.81
  5. Step 5: Solve for x
    x = 204,891,206,907.81/516,736
  6. Step 6: Final answer
    x = 396,510.42

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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.