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Finding the Fourth Proportional to 490,998.69, 677,415.29 and 400,198.50

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Solution

The fourth proportional to 490,998.69, 677,415.29 and 400,198.50 is: 552,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,998.69 : 677,415.29 = 400,198.50 : x
  2. Step 2: Convert to fraction form
    490,998.69/677,415.29 = 400,198.50/x
  3. Step 3: Cross multiply
    490,998.69x = 677,415.29 × 400,198.50
  4. Step 4: Simplify right side
    490,998.69x = 271,100,580,934.07
  5. Step 5: Solve for x
    x = 271,100,580,934.07/490,998.69
  6. Step 6: Final answer
    x = 552,141.15

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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.