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Finding the Fourth Proportional to 513,504.93, 708,638.19 and 287,150.43

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Solution

The fourth proportional to 513,504.93, 708,638.19 and 287,150.43 is: 396,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,504.93 : 708,638.19 = 287,150.43 : x
  2. Step 2: Convert to fraction form
    513,504.93/708,638.19 = 287,150.43/x
  3. Step 3: Cross multiply
    513,504.93x = 708,638.19 × 287,150.43
  4. Step 4: Simplify right side
    513,504.93x = 203,485,760,972.92
  5. Step 5: Solve for x
    x = 203,485,760,972.92/513,504.93
  6. Step 6: Final answer
    x = 396,268.37

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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.