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Finding the Fourth Proportional to 516,965.79, 713,358.39 and 287,485.93

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Solution

The fourth proportional to 516,965.79, 713,358.39 and 287,485.93 is: 396,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,965.79 : 713,358.39 = 287,485.93 : x
  2. Step 2: Convert to fraction form
    516,965.79/713,358.39 = 287,485.93/x
  3. Step 3: Cross multiply
    516,965.79x = 713,358.39 × 287,485.93
  4. Step 4: Simplify right side
    516,965.79x = 205,080,504,148.54
  5. Step 5: Solve for x
    x = 205,080,504,148.54/516,965.79
  6. Step 6: Final answer
    x = 396,700.34

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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.