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Finding the Fourth Proportional to 307,774, 461,742.84 and 130,288.48

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Solution

The fourth proportional to 307,774, 461,742.84 and 130,288.48 is: 195,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,774 : 461,742.84 = 130,288.48 : x
  2. Step 2: Convert to fraction form
    307,774/461,742.84 = 130,288.48/x
  3. Step 3: Cross multiply
    307,774x = 461,742.84 × 130,288.48
  4. Step 4: Simplify right side
    307,774x = 60,159,772,774.48
  5. Step 5: Solve for x
    x = 60,159,772,774.48/307,774
  6. Step 6: Final answer
    x = 195,467.36

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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.