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Finding the Fourth Proportional to 313,654.88, 470,491.56 and 76,997.56

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Solution

The fourth proportional to 313,654.88, 470,491.56 and 76,997.56 is: 115,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,654.88 : 470,491.56 = 76,997.56 : x
  2. Step 2: Convert to fraction form
    313,654.88/470,491.56 = 76,997.56/x
  3. Step 3: Cross multiply
    313,654.88x = 470,491.56 × 76,997.56
  4. Step 4: Simplify right side
    313,654.88x = 36,226,702,120.59
  5. Step 5: Solve for x
    x = 36,226,702,120.59/313,654.88
  6. Step 6: Final answer
    x = 115,498.61

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1.5x scale

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.