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Finding the Fourth Proportional to 291,144.04, 401,777.94 and 163,819.64

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Solution

The fourth proportional to 291,144.04, 401,777.94 and 163,819.64 is: 226,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,144.04 : 401,777.94 = 163,819.64 : x
  2. Step 2: Convert to fraction form
    291,144.04/401,777.94 = 163,819.64/x
  3. Step 3: Cross multiply
    291,144.04x = 401,777.94 × 163,819.64
  4. Step 4: Simplify right side
    291,144.04x = 65,819,117,490.74
  5. Step 5: Solve for x
    x = 65,819,117,490.74/291,144.04
  6. Step 6: Final answer
    x = 226,070.63

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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.