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Finding the Fourth Proportional to 280,330.96, 386,906.88 and 167,161

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Solution

The fourth proportional to 280,330.96, 386,906.88 and 167,161 is: 230,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,330.96 : 386,906.88 = 167,161 : x
  2. Step 2: Convert to fraction form
    280,330.96/386,906.88 = 167,161/x
  3. Step 3: Cross multiply
    280,330.96x = 386,906.88 × 167,161
  4. Step 4: Simplify right side
    280,330.96x = 64,675,740,967.68
  5. Step 5: Solve for x
    x = 64,675,740,967.68/280,330.96
  6. Step 6: Final answer
    x = 230,712.09

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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.