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Finding the Fourth Proportional to 307,776.40, 461,956.20 and 263,453.20

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Solution

The fourth proportional to 307,776.40, 461,956.20 and 263,453.20 is: 395,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,776.40 : 461,956.20 = 263,453.20 : x
  2. Step 2: Convert to fraction form
    307,776.40/461,956.20 = 263,453.20/x
  3. Step 3: Cross multiply
    307,776.40x = 461,956.20 × 263,453.20
  4. Step 4: Simplify right side
    307,776.40x = 121,703,839,149.84
  5. Step 5: Solve for x
    x = 121,703,839,149.84/307,776.40
  6. Step 6: Final answer
    x = 395,429.41

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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.