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Finding the Fourth Proportional to 822,342, 1,233,694.44 and 349,431.60

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Solution

The fourth proportional to 822,342, 1,233,694.44 and 349,431.60 is: 524,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,342 : 1,233,694.44 = 349,431.60 : x
  2. Step 2: Convert to fraction form
    822,342/1,233,694.44 = 349,431.60/x
  3. Step 3: Cross multiply
    822,342x = 1,233,694.44 × 349,431.60
  4. Step 4: Simplify right side
    822,342x = 431,091,822,080.30
  5. Step 5: Solve for x
    x = 431,091,822,080.30/822,342
  6. Step 6: Final answer
    x = 524,224.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.