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Finding the Fourth Proportional to 822,330, 1,233,676.44 and 349,419.60

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Solution

The fourth proportional to 822,330, 1,233,676.44 and 349,419.60 is: 524,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,330 : 1,233,676.44 = 349,419.60 : x
  2. Step 2: Convert to fraction form
    822,330/1,233,676.44 = 349,419.60/x
  3. Step 3: Cross multiply
    822,330x = 1,233,676.44 × 349,419.60
  4. Step 4: Simplify right side
    822,330x = 431,070,728,194.22
  5. Step 5: Solve for x
    x = 431,070,728,194.22/822,330
  6. Step 6: Final answer
    x = 524,206.50

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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.