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Finding the Fourth Proportional to 491,671.86, 678,506.96 and 287,761.61

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Solution

The fourth proportional to 491,671.86, 678,506.96 and 287,761.61 is: 397,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,671.86 : 678,506.96 = 287,761.61 : x
  2. Step 2: Convert to fraction form
    491,671.86/678,506.96 = 287,761.61/x
  3. Step 3: Cross multiply
    491,671.86x = 678,506.96 × 287,761.61
  4. Step 4: Simplify right side
    491,671.86x = 195,248,257,621.48
  5. Step 5: Solve for x
    x = 195,248,257,621.48/491,671.86
  6. Step 6: Final answer
    x = 397,110.91

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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.