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Finding the Fourth Proportional to 409,635.20, 565,299.36 and 228,358.64

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Solution

The fourth proportional to 409,635.20, 565,299.36 and 228,358.64 is: 315,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,635.20 : 565,299.36 = 228,358.64 : x
  2. Step 2: Convert to fraction form
    409,635.20/565,299.36 = 228,358.64/x
  3. Step 3: Cross multiply
    409,635.20x = 565,299.36 × 228,358.64
  4. Step 4: Simplify right side
    409,635.20x = 129,090,993,042.47
  5. Step 5: Solve for x
    x = 129,090,993,042.47/409,635.20
  6. Step 6: Final answer
    x = 315,136.48

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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.