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Finding the Fourth Proportional to 516,717.82, 712,984.40 and 287,268.70

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Solution

The fourth proportional to 516,717.82, 712,984.40 and 287,268.70 is: 396,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,717.82 : 712,984.40 = 287,268.70 : x
  2. Step 2: Convert to fraction form
    516,717.82/712,984.40 = 287,268.70/x
  3. Step 3: Cross multiply
    516,717.82x = 712,984.40 × 287,268.70
  4. Step 4: Simplify right side
    516,717.82x = 204,818,101,708.28
  5. Step 5: Solve for x
    x = 204,818,101,708.28/516,717.82
  6. Step 6: Final answer
    x = 396,382.89

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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.