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Finding the Fourth Proportional to 378,697.68, 522,372.24 and 225,635.22

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Solution

The fourth proportional to 378,697.68, 522,372.24 and 225,635.22 is: 311,239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,697.68 : 522,372.24 = 225,635.22 : x
  2. Step 2: Convert to fraction form
    378,697.68/522,372.24 = 225,635.22/x
  3. Step 3: Cross multiply
    378,697.68x = 522,372.24 × 225,635.22
  4. Step 4: Simplify right side
    378,697.68x = 117,865,575,294.29
  5. Step 5: Solve for x
    x = 117,865,575,294.29/378,697.68
  6. Step 6: Final answer
    x = 311,239.23

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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.