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Finding the Fourth Proportional to 719,450, 992,841 and 401,498

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Solution

The fourth proportional to 719,450, 992,841 and 401,498 is: 554,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,450 : 992,841 = 401,498 : x
  2. Step 2: Convert to fraction form
    719,450/992,841 = 401,498/x
  3. Step 3: Cross multiply
    719,450x = 992,841 × 401,498
  4. Step 4: Simplify right side
    719,450x = 398,623,675,818
  5. Step 5: Solve for x
    x = 398,623,675,818/719,450
  6. Step 6: Final answer
    x = 554,067.24

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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.