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Finding the Fourth Proportional to 420,580.55, 580,400.91 and 229,593.89

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Solution

The fourth proportional to 420,580.55, 580,400.91 and 229,593.89 is: 316,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,580.55 : 580,400.91 = 229,593.89 : x
  2. Step 2: Convert to fraction form
    420,580.55/580,400.91 = 229,593.89/x
  3. Step 3: Cross multiply
    420,580.55x = 580,400.91 × 229,593.89
  4. Step 4: Simplify right side
    420,580.55x = 133,256,504,137.44
  5. Step 5: Solve for x
    x = 133,256,504,137.44/420,580.55
  6. Step 6: Final answer
    x = 316,839.43

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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.