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Finding the Fourth Proportional to 409,702, 565,391.20 and 228,425.36

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Solution

The fourth proportional to 409,702, 565,391.20 and 228,425.36 is: 315,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,702 : 565,391.20 = 228,425.36 : x
  2. Step 2: Convert to fraction form
    409,702/565,391.20 = 228,425.36/x
  3. Step 3: Cross multiply
    409,702x = 565,391.20 × 228,425.36
  4. Step 4: Simplify right side
    409,702x = 129,149,688,400.83
  5. Step 5: Solve for x
    x = 129,149,688,400.83/409,702
  6. Step 6: Final answer
    x = 315,228.36

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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.