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Finding the Fourth Proportional to 312,777.72, 469,162.62 and 76,120.92

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Solution

The fourth proportional to 312,777.72, 469,162.62 and 76,120.92 is: 114,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,777.72 : 469,162.62 = 76,120.92 : x
  2. Step 2: Convert to fraction form
    312,777.72/469,162.62 = 76,120.92/x
  3. Step 3: Cross multiply
    312,777.72x = 469,162.62 × 76,120.92
  4. Step 4: Simplify right side
    312,777.72x = 35,713,090,264.01
  5. Step 5: Solve for x
    x = 35,713,090,264.01/312,777.72
  6. Step 6: Final answer
    x = 114,180.42

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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.