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Finding the Fourth Proportional to 307,736.80, 461,144.40 and 260,735.20

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Solution

The fourth proportional to 307,736.80, 461,144.40 and 260,735.20 is: 390,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,736.80 : 461,144.40 = 260,735.20 : x
  2. Step 2: Convert to fraction form
    307,736.80/461,144.40 = 260,735.20/x
  3. Step 3: Cross multiply
    307,736.80x = 461,144.40 × 260,735.20
  4. Step 4: Simplify right side
    307,736.80x = 120,236,577,362.88
  5. Step 5: Solve for x
    x = 120,236,577,362.88/307,736.80
  6. Step 6: Final answer
    x = 390,712.38

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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.