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Finding the Fourth Proportional to 315,778.82, 474,005.27 and 135,953.24

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Solution

The fourth proportional to 315,778.82, 474,005.27 and 135,953.24 is: 204,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,778.82 : 474,005.27 = 135,953.24 : x
  2. Step 2: Convert to fraction form
    315,778.82/474,005.27 = 135,953.24/x
  3. Step 3: Cross multiply
    315,778.82x = 474,005.27 × 135,953.24
  4. Step 4: Simplify right side
    315,778.82x = 64,442,550,203.43
  5. Step 5: Solve for x
    x = 64,442,550,203.43/315,778.82
  6. Step 6: Final answer
    x = 204,074.96

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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.