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Finding the Fourth Proportional to 420,620.70, 580,458.54 and 229,638.48

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Solution

The fourth proportional to 420,620.70, 580,458.54 and 229,638.48 is: 316,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,620.70 : 580,458.54 = 229,638.48 : x
  2. Step 2: Convert to fraction form
    420,620.70/580,458.54 = 229,638.48/x
  3. Step 3: Cross multiply
    420,620.70x = 580,458.54 × 229,638.48
  4. Step 4: Simplify right side
    420,620.70x = 133,295,616,828.62
  5. Step 5: Solve for x
    x = 133,295,616,828.62/420,620.70
  6. Step 6: Final answer
    x = 316,902.18

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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.