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Finding the Fourth Proportional to 409,571.25, 565,210.94 and 228,294.66

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Solution

The fourth proportional to 409,571.25, 565,210.94 and 228,294.66 is: 315,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,571.25 : 565,210.94 = 228,294.66 : x
  2. Step 2: Convert to fraction form
    409,571.25/565,210.94 = 228,294.66/x
  3. Step 3: Cross multiply
    409,571.25x = 565,210.94 × 228,294.66
  4. Step 4: Simplify right side
    409,571.25x = 129,034,639,375.58
  5. Step 5: Solve for x
    x = 129,034,639,375.58/409,571.25
  6. Step 6: Final answer
    x = 315,048.09

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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.