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Finding the Fourth Proportional to 490,969.49, 677,398.14 and 294,656.20

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Solution

The fourth proportional to 490,969.49, 677,398.14 and 294,656.20 is: 406,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,969.49 : 677,398.14 = 294,656.20 : x
  2. Step 2: Convert to fraction form
    490,969.49/677,398.14 = 294,656.20/x
  3. Step 3: Cross multiply
    490,969.49x = 677,398.14 × 294,656.20
  4. Step 4: Simplify right side
    490,969.49x = 199,599,560,125.97
  5. Step 5: Solve for x
    x = 199,599,560,125.97/490,969.49
  6. Step 6: Final answer
    x = 406,541.68

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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.