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Finding the Fourth Proportional to 513,649, 708,838.38 and 287,294.44

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Solution

The fourth proportional to 513,649, 708,838.38 and 287,294.44 is: 396,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,649 : 708,838.38 = 287,294.44 : x
  2. Step 2: Convert to fraction form
    513,649/708,838.38 = 287,294.44/x
  3. Step 3: Cross multiply
    513,649x = 708,838.38 × 287,294.44
  4. Step 4: Simplify right side
    513,649x = 203,645,325,432.61
  5. Step 5: Solve for x
    x = 203,645,325,432.61/513,649
  6. Step 6: Final answer
    x = 396,467.87

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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.