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Finding the Fourth Proportional to 285,375.88, 393,814.74 and 164,517.40

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Solution

The fourth proportional to 285,375.88, 393,814.74 and 164,517.40 is: 227,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,375.88 : 393,814.74 = 164,517.40 : x
  2. Step 2: Convert to fraction form
    285,375.88/393,814.74 = 164,517.40/x
  3. Step 3: Cross multiply
    285,375.88x = 393,814.74 × 164,517.40
  4. Step 4: Simplify right side
    285,375.88x = 64,789,377,106.48
  5. Step 5: Solve for x
    x = 64,789,377,106.48/285,375.88
  6. Step 6: Final answer
    x = 227,031.72

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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.