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Finding the Fourth Proportional to 420,699.48, 580,566 and 229,708.80

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Solution

The fourth proportional to 420,699.48, 580,566 and 229,708.80 is: 316,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,699.48 : 580,566 = 229,708.80 : x
  2. Step 2: Convert to fraction form
    420,699.48/580,566 = 229,708.80/x
  3. Step 3: Cross multiply
    420,699.48x = 580,566 × 229,708.80
  4. Step 4: Simplify right side
    420,699.48x = 133,361,119,180.80
  5. Step 5: Solve for x
    x = 133,361,119,180.80/420,699.48
  6. Step 6: Final answer
    x = 316,998.54

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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.