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Finding the Fourth Proportional to 421,969,840.35, 582,310,672.35 and 233,797,447.87

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Solution

The fourth proportional to 421,969,840.35, 582,310,672.35 and 233,797,447.87 is: 322,636,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,969,840.35 : 582,310,672.35 = 233,797,447.87 : x
  2. Step 2: Convert to fraction form
    421,969,840.35/582,310,672.35 = 233,797,447.87/x
  3. Step 3: Cross multiply
    421,969,840.35x = 582,310,672.35 × 233,797,447.87
  4. Step 4: Simplify right side
    421,969,840.35x = 136,142,749,062,197,568
  5. Step 5: Solve for x
    x = 136,142,749,062,197,568/421,969,840.35
  6. Step 6: Final answer
    x = 322,636,207.72

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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.