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Finding the Fourth Proportional to 421,853,168.76, 582,162,029.19 and 233,684,344.86

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Solution

The fourth proportional to 421,853,168.76, 582,162,029.19 and 233,684,344.86 is: 322,486,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,853,168.76 : 582,162,029.19 = 233,684,344.86 : x
  2. Step 2: Convert to fraction form
    421,853,168.76/582,162,029.19 = 233,684,344.86/x
  3. Step 3: Cross multiply
    421,853,168.76x = 582,162,029.19 × 233,684,344.86
  4. Step 4: Simplify right side
    421,853,168.76x = 136,042,152,393,633,376
  5. Step 5: Solve for x
    x = 136,042,152,393,633,376/421,853,168.76
  6. Step 6: Final answer
    x = 322,486,975.25

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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.