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Finding the Fourth Proportional to 409,696.56, 565,383.60 and 228,420

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Solution

The fourth proportional to 409,696.56, 565,383.60 and 228,420 is: 315,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,696.56 : 565,383.60 = 228,420 : x
  2. Step 2: Convert to fraction form
    409,696.56/565,383.60 = 228,420/x
  3. Step 3: Cross multiply
    409,696.56x = 565,383.60 × 228,420
  4. Step 4: Simplify right side
    409,696.56x = 129,144,921,912
  5. Step 5: Solve for x
    x = 129,144,921,912/409,696.56
  6. Step 6: Final answer
    x = 315,220.91

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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.