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Finding the Fourth Proportional to 420,633.62, 580,449.75 and 229,608.62

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Solution

The fourth proportional to 420,633.62, 580,449.75 and 229,608.62 is: 316,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,633.62 : 580,449.75 = 229,608.62 : x
  2. Step 2: Convert to fraction form
    420,633.62/580,449.75 = 229,608.62/x
  3. Step 3: Cross multiply
    420,633.62x = 580,449.75 × 229,608.62
  4. Step 4: Simplify right side
    420,633.62x = 133,276,266,076.85
  5. Step 5: Solve for x
    x = 133,276,266,076.85/420,633.62
  6. Step 6: Final answer
    x = 316,846.44

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1.5x scale

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.