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Finding the Fourth Proportional to 307,570.80, 461,471.40 and 120,716.40

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Solution

The fourth proportional to 307,570.80, 461,471.40 and 120,716.40 is: 181,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,570.80 : 461,471.40 = 120,716.40 : x
  2. Step 2: Convert to fraction form
    307,570.80/461,471.40 = 120,716.40/x
  3. Step 3: Cross multiply
    307,570.80x = 461,471.40 × 120,716.40
  4. Step 4: Simplify right side
    307,570.80x = 55,707,166,110.96
  5. Step 5: Solve for x
    x = 55,707,166,110.96/307,570.80
  6. Step 6: Final answer
    x = 181,119.81

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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.