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Finding the Fourth Proportional to 313,188.72, 470,029.32 and 144,786.48

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Solution

The fourth proportional to 313,188.72, 470,029.32 and 144,786.48 is: 217,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,188.72 : 470,029.32 = 144,786.48 : x
  2. Step 2: Convert to fraction form
    313,188.72/470,029.32 = 144,786.48/x
  3. Step 3: Cross multiply
    313,188.72x = 470,029.32 × 144,786.48
  4. Step 4: Simplify right side
    313,188.72x = 68,053,890,739.59
  5. Step 5: Solve for x
    x = 68,053,890,739.59/313,188.72
  6. Step 6: Final answer
    x = 217,293.56

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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.