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Finding the Fourth Proportional to 315,297.72, 472,099.86 and 196,733.88

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Solution

The fourth proportional to 315,297.72, 472,099.86 and 196,733.88 is: 294,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,297.72 : 472,099.86 = 196,733.88 : x
  2. Step 2: Convert to fraction form
    315,297.72/472,099.86 = 196,733.88/x
  3. Step 3: Cross multiply
    315,297.72x = 472,099.86 × 196,733.88
  4. Step 4: Simplify right side
    315,297.72x = 92,878,037,205.26
  5. Step 5: Solve for x
    x = 92,878,037,205.26/315,297.72
  6. Step 6: Final answer
    x = 294,572.50

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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.