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Finding the Fourth Proportional to 516,777.57, 713,139.75 and 287,322.98

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Solution

The fourth proportional to 516,777.57, 713,139.75 and 287,322.98 is: 396,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,777.57 : 713,139.75 = 287,322.98 : x
  2. Step 2: Convert to fraction form
    516,777.57/713,139.75 = 287,322.98/x
  3. Step 3: Cross multiply
    516,777.57x = 713,139.75 × 287,322.98
  4. Step 4: Simplify right side
    516,777.57x = 204,901,434,560.76
  5. Step 5: Solve for x
    x = 204,901,434,560.76/516,777.57
  6. Step 6: Final answer
    x = 396,498.31

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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.