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Finding the Fourth Proportional to 307,366.25, 461,104.79 and 138,965.83

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Solution

The fourth proportional to 307,366.25, 461,104.79 and 138,965.83 is: 208,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,366.25 : 461,104.79 = 138,965.83 : x
  2. Step 2: Convert to fraction form
    307,366.25/461,104.79 = 138,965.83/x
  3. Step 3: Cross multiply
    307,366.25x = 461,104.79 × 138,965.83
  4. Step 4: Simplify right side
    307,366.25x = 64,077,808,011.73
  5. Step 5: Solve for x
    x = 64,077,808,011.73/307,366.25
  6. Step 6: Final answer
    x = 208,473.80

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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.