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Finding the Fourth Proportional to 307,475.20, 461,407.20 and 181,115.20

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Solution

The fourth proportional to 307,475.20, 461,407.20 and 181,115.20 is: 271,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,475.20 : 461,407.20 = 181,115.20 : x
  2. Step 2: Convert to fraction form
    307,475.20/461,407.20 = 181,115.20/x
  3. Step 3: Cross multiply
    307,475.20x = 461,407.20 × 181,115.20
  4. Step 4: Simplify right side
    307,475.20x = 83,567,857,309.44
  5. Step 5: Solve for x
    x = 83,567,857,309.44/307,475.20
  6. Step 6: Final answer
    x = 271,787.31

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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.