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Finding the Fourth Proportional to 516,716.82, 712,983.02 and 287,267.70

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Solution

The fourth proportional to 516,716.82, 712,983.02 and 287,267.70 is: 396,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,716.82 : 712,983.02 = 287,267.70 : x
  2. Step 2: Convert to fraction form
    516,716.82/712,983.02 = 287,267.70/x
  3. Step 3: Cross multiply
    516,716.82x = 712,983.02 × 287,267.70
  4. Step 4: Simplify right side
    516,716.82x = 204,816,992,294.45
  5. Step 5: Solve for x
    x = 204,816,992,294.45/516,716.82
  6. Step 6: Final answer
    x = 396,381.51

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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.