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Finding the Fourth Proportional to 291,229.50, 401,818.14 and 170,400.46

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Solution

The fourth proportional to 291,229.50, 401,818.14 and 170,400.46 is: 235,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,229.50 : 401,818.14 = 170,400.46 : x
  2. Step 2: Convert to fraction form
    291,229.50/401,818.14 = 170,400.46/x
  3. Step 3: Cross multiply
    291,229.50x = 401,818.14 × 170,400.46
  4. Step 4: Simplify right side
    291,229.50x = 68,469,995,892.34
  5. Step 5: Solve for x
    x = 68,469,995,892.34/291,229.50
  6. Step 6: Final answer
    x = 235,106.66

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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.