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Finding the Fourth Proportional to 291,236.96, 401,982.96 and 178,154.48

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Solution

The fourth proportional to 291,236.96, 401,982.96 and 178,154.48 is: 245,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,236.96 : 401,982.96 = 178,154.48 : x
  2. Step 2: Convert to fraction form
    291,236.96/401,982.96 = 178,154.48/x
  3. Step 3: Cross multiply
    291,236.96x = 401,982.96 × 178,154.48
  4. Step 4: Simplify right side
    291,236.96x = 71,615,065,207.66
  5. Step 5: Solve for x
    x = 71,615,065,207.66/291,236.96
  6. Step 6: Final answer
    x = 245,899.65

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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.