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Finding the Fourth Proportional to 516,979.66, 713,419.46 and 287,536.27

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Solution

The fourth proportional to 516,979.66, 713,419.46 and 287,536.27 is: 396,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,979.66 : 713,419.46 = 287,536.27 : x
  2. Step 2: Convert to fraction form
    516,979.66/713,419.46 = 287,536.27/x
  3. Step 3: Cross multiply
    516,979.66x = 713,419.46 × 287,536.27
  4. Step 4: Simplify right side
    516,979.66x = 205,133,970,473.81
  5. Step 5: Solve for x
    x = 205,133,970,473.81/516,979.66
  6. Step 6: Final answer
    x = 396,793.12

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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.