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Finding the Fourth Proportional to 407,231.62, 561,968.89 and 223,469.62

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Solution

The fourth proportional to 407,231.62, 561,968.89 and 223,469.62 is: 308,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,231.62 : 561,968.89 = 223,469.62 : x
  2. Step 2: Convert to fraction form
    407,231.62/561,968.89 = 223,469.62/x
  3. Step 3: Cross multiply
    407,231.62x = 561,968.89 × 223,469.62
  4. Step 4: Simplify right side
    407,231.62x = 125,582,972,336.53
  5. Step 5: Solve for x
    x = 125,582,972,336.53/407,231.62
  6. Step 6: Final answer
    x = 308,382.18

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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.