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Finding the Fourth Proportional to 491,215.44, 735,847.92 and 378,504.78

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Solution

The fourth proportional to 491,215.44, 735,847.92 and 378,504.78 is: 567,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,215.44 : 735,847.92 = 378,504.78 : x
  2. Step 2: Convert to fraction form
    491,215.44/735,847.92 = 378,504.78/x
  3. Step 3: Cross multiply
    491,215.44x = 735,847.92 × 378,504.78
  4. Step 4: Simplify right side
    491,215.44x = 278,521,955,073.06
  5. Step 5: Solve for x
    x = 278,521,955,073.06/491,215.44
  6. Step 6: Final answer
    x = 567,005.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.