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Finding the Fourth Proportional to 313,799.09, 470,687.69 and 100,563.86

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Solution

The fourth proportional to 313,799.09, 470,687.69 and 100,563.86 is: 150,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,799.09 : 470,687.69 = 100,563.86 : x
  2. Step 2: Convert to fraction form
    313,799.09/470,687.69 = 100,563.86/x
  3. Step 3: Cross multiply
    313,799.09x = 470,687.69 × 100,563.86
  4. Step 4: Simplify right side
    313,799.09x = 47,334,172,389.01
  5. Step 5: Solve for x
    x = 47,334,172,389.01/313,799.09
  6. Step 6: Final answer
    x = 150,842.29

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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.