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Finding the Fourth Proportional to 513,644.24, 708,790.56 and 287,246

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Solution

The fourth proportional to 513,644.24, 708,790.56 and 287,246 is: 396,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,644.24 : 708,790.56 = 287,246 : x
  2. Step 2: Convert to fraction form
    513,644.24/708,790.56 = 287,246/x
  3. Step 3: Cross multiply
    513,644.24x = 708,790.56 × 287,246
  4. Step 4: Simplify right side
    513,644.24x = 203,597,253,197.76
  5. Step 5: Solve for x
    x = 203,597,253,197.76/513,644.24
  6. Step 6: Final answer
    x = 396,377.95

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1.5x scale

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.