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Finding the Fourth Proportional to 307,517.82, 461,448.98 and 130,157.60

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Solution

The fourth proportional to 307,517.82, 461,448.98 and 130,157.60 is: 195,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,517.82 : 461,448.98 = 130,157.60 : x
  2. Step 2: Convert to fraction form
    307,517.82/461,448.98 = 130,157.60/x
  3. Step 3: Cross multiply
    307,517.82x = 461,448.98 × 130,157.60
  4. Step 4: Simplify right side
    307,517.82x = 60,061,088,801.22
  5. Step 5: Solve for x
    x = 60,061,088,801.22/307,517.82
  6. Step 6: Final answer
    x = 195,309.30

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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.