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Finding the Fourth Proportional to 421,969,841.85, 582,310,674.42 and 233,797,449.38

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Solution

The fourth proportional to 421,969,841.85, 582,310,674.42 and 233,797,449.38 is: 322,636,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,969,841.85 : 582,310,674.42 = 233,797,449.38 : x
  2. Step 2: Convert to fraction form
    421,969,841.85/582,310,674.42 = 233,797,449.38/x
  3. Step 3: Cross multiply
    421,969,841.85x = 582,310,674.42 × 233,797,449.38
  4. Step 4: Simplify right side
    421,969,841.85x = 136,142,750,423,232,048
  5. Step 5: Solve for x
    x = 136,142,750,423,232,048/421,969,841.85
  6. Step 6: Final answer
    x = 322,636,209.80

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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.