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Finding the Fourth Proportional to 819,771.81, 1,229,694.64 and 251,111.45

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Solution

The fourth proportional to 819,771.81, 1,229,694.64 and 251,111.45 is: 376,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,771.81 : 1,229,694.64 = 251,111.45 : x
  2. Step 2: Convert to fraction form
    819,771.81/1,229,694.64 = 251,111.45/x
  3. Step 3: Cross multiply
    819,771.81x = 1,229,694.64 × 251,111.45
  4. Step 4: Simplify right side
    819,771.81x = 308,790,406,554.09
  5. Step 5: Solve for x
    x = 308,790,406,554.09/819,771.81
  6. Step 6: Final answer
    x = 376,678.49

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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.