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Finding the Fourth Proportional to 313,404, 470,292.80 and 113,739.99

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Solution

The fourth proportional to 313,404, 470,292.80 and 113,739.99 is: 170,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,404 : 470,292.80 = 113,739.99 : x
  2. Step 2: Convert to fraction form
    313,404/470,292.80 = 113,739.99/x
  3. Step 3: Cross multiply
    313,404x = 470,292.80 × 113,739.99
  4. Step 4: Simplify right side
    313,404x = 53,491,097,800.37
  5. Step 5: Solve for x
    x = 53,491,097,800.37/313,404
  6. Step 6: Final answer
    x = 170,677.78

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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.