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Finding the Fourth Proportional to 513,628.88, 708,804 and 287,274.38

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Solution

The fourth proportional to 513,628.88, 708,804 and 287,274.38 is: 396,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,628.88 : 708,804 = 287,274.38 : x
  2. Step 2: Convert to fraction form
    513,628.88/708,804 = 287,274.38/x
  3. Step 3: Cross multiply
    513,628.88x = 708,804 × 287,274.38
  4. Step 4: Simplify right side
    513,628.88x = 203,621,229,641.52
  5. Step 5: Solve for x
    x = 203,621,229,641.52/513,628.88
  6. Step 6: Final answer
    x = 396,436.49

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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.