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Finding the Fourth Proportional to 661,297.44, 911,721.12 and 477,380.96

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Solution

The fourth proportional to 661,297.44, 911,721.12 and 477,380.96 is: 658,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,297.44 : 911,721.12 = 477,380.96 : x
  2. Step 2: Convert to fraction form
    661,297.44/911,721.12 = 477,380.96/x
  3. Step 3: Cross multiply
    661,297.44x = 911,721.12 × 477,380.96
  4. Step 4: Simplify right side
    661,297.44x = 435,238,303,517.88
  5. Step 5: Solve for x
    x = 435,238,303,517.88/661,297.44
  6. Step 6: Final answer
    x = 658,158.16

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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.