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Finding the Fourth Proportional to 421,969,871.27, 582,310,715.10 and 233,797,478.78

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Solution

The fourth proportional to 421,969,871.27, 582,310,715.10 and 233,797,478.78 is: 322,636,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,969,871.27 : 582,310,715.10 = 233,797,478.78 : x
  2. Step 2: Convert to fraction form
    421,969,871.27/582,310,715.10 = 233,797,478.78/x
  3. Step 3: Cross multiply
    421,969,871.27x = 582,310,715.10 × 233,797,478.78
  4. Step 4: Simplify right side
    421,969,871.27x = 136,142,777,056,958,880
  5. Step 5: Solve for x
    x = 136,142,777,056,958,880/421,969,871.27
  6. Step 6: Final answer
    x = 322,636,250.42

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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.