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Finding the Fourth Proportional to 513,732.63, 708,978.58 and 287,364.63

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Solution

The fourth proportional to 513,732.63, 708,978.58 and 287,364.63 is: 396,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,732.63 : 708,978.58 = 287,364.63 : x
  2. Step 2: Convert to fraction form
    513,732.63/708,978.58 = 287,364.63/x
  3. Step 3: Cross multiply
    513,732.63x = 708,978.58 × 287,364.63
  4. Step 4: Simplify right side
    513,732.63x = 203,735,365,882.80
  5. Step 5: Solve for x
    x = 203,735,365,882.80/513,732.63
  6. Step 6: Final answer
    x = 396,578.60

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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.