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Finding the Fourth Proportional to 409,584.87, 565,229.79 and 228,308.31

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Solution

The fourth proportional to 409,584.87, 565,229.79 and 228,308.31 is: 315,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,584.87 : 565,229.79 = 228,308.31 : x
  2. Step 2: Convert to fraction form
    409,584.87/565,229.79 = 228,308.31/x
  3. Step 3: Cross multiply
    409,584.87x = 565,229.79 × 228,308.31
  4. Step 4: Simplify right side
    409,584.87x = 129,046,658,116.56
  5. Step 5: Solve for x
    x = 129,046,658,116.56/409,584.87
  6. Step 6: Final answer
    x = 315,066.96

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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.