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Finding the Fourth Proportional to 307,981.30, 461,891.75 and 130,396.90

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Solution

The fourth proportional to 307,981.30, 461,891.75 and 130,396.90 is: 195,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,981.30 : 461,891.75 = 130,396.90 : x
  2. Step 2: Convert to fraction form
    307,981.30/461,891.75 = 130,396.90/x
  3. Step 3: Cross multiply
    307,981.30x = 461,891.75 × 130,396.90
  4. Step 4: Simplify right side
    307,981.30x = 60,229,252,335.58
  5. Step 5: Solve for x
    x = 60,229,252,335.58/307,981.30
  6. Step 6: Final answer
    x = 195,561.39

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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.