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Finding the Fourth Proportional to 291,212.10, 401,806.18 and 163,841.22

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Solution

The fourth proportional to 291,212.10, 401,806.18 and 163,841.22 is: 226,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,212.10 : 401,806.18 = 163,841.22 : x
  2. Step 2: Convert to fraction form
    291,212.10/401,806.18 = 163,841.22/x
  3. Step 3: Cross multiply
    291,212.10x = 401,806.18 × 163,841.22
  4. Step 4: Simplify right side
    291,212.10x = 65,832,414,734.74
  5. Step 5: Solve for x
    x = 65,832,414,734.74/291,212.10
  6. Step 6: Final answer
    x = 226,063.46

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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.