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Finding the Fourth Proportional to 404,891.68, 607,711.14 and 205,352.20

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Solution

The fourth proportional to 404,891.68, 607,711.14 and 205,352.20 is: 308,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,891.68 : 607,711.14 = 205,352.20 : x
  2. Step 2: Convert to fraction form
    404,891.68/607,711.14 = 205,352.20/x
  3. Step 3: Cross multiply
    404,891.68x = 607,711.14 × 205,352.20
  4. Step 4: Simplify right side
    404,891.68x = 124,794,819,563.51
  5. Step 5: Solve for x
    x = 124,794,819,563.51/404,891.68
  6. Step 6: Final answer
    x = 308,217.79

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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.