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Finding the Fourth Proportional to 491,976.76, 678,695.92 and 287,902.56

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Solution

The fourth proportional to 491,976.76, 678,695.92 and 287,902.56 is: 397,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,976.76 : 678,695.92 = 287,902.56 : x
  2. Step 2: Convert to fraction form
    491,976.76/678,695.92 = 287,902.56/x
  3. Step 3: Cross multiply
    491,976.76x = 678,695.92 × 287,902.56
  4. Step 4: Simplify right side
    491,976.76x = 195,398,292,829.56
  5. Step 5: Solve for x
    x = 195,398,292,829.56/491,976.76
  6. Step 6: Final answer
    x = 397,169.76

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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.