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Finding the Fourth Proportional to 345,416.96, 476,709.76 and 202,168.64

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Solution

The fourth proportional to 345,416.96, 476,709.76 and 202,168.64 is: 279,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,416.96 : 476,709.76 = 202,168.64 : x
  2. Step 2: Convert to fraction form
    345,416.96/476,709.76 = 202,168.64/x
  3. Step 3: Cross multiply
    345,416.96x = 476,709.76 × 202,168.64
  4. Step 4: Simplify right side
    345,416.96x = 96,375,763,853.93
  5. Step 5: Solve for x
    x = 96,375,763,853.93/345,416.96
  6. Step 6: Final answer
    x = 279,012.83

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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.