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Finding the Fourth Proportional to 516,932.35, 713,325.31 and 287,490.08

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Solution

The fourth proportional to 516,932.35, 713,325.31 and 287,490.08 is: 396,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,932.35 : 713,325.31 = 287,490.08 : x
  2. Step 2: Convert to fraction form
    516,932.35/713,325.31 = 287,490.08/x
  3. Step 3: Cross multiply
    516,932.35x = 713,325.31 × 287,490.08
  4. Step 4: Simplify right side
    516,932.35x = 205,073,951,502.51
  5. Step 5: Solve for x
    x = 205,073,951,502.51/516,932.35
  6. Step 6: Final answer
    x = 396,713.33

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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.