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Finding the Fourth Proportional to 313,427.30, 470,140.96 and 91,811.30

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Solution

The fourth proportional to 313,427.30, 470,140.96 and 91,811.30 is: 137,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,427.30 : 470,140.96 = 91,811.30 : x
  2. Step 2: Convert to fraction form
    313,427.30/470,140.96 = 91,811.30/x
  3. Step 3: Cross multiply
    313,427.30x = 470,140.96 × 91,811.30
  4. Step 4: Simplify right side
    313,427.30x = 43,164,252,720.85
  5. Step 5: Solve for x
    x = 43,164,252,720.85/313,427.30
  6. Step 6: Final answer
    x = 137,716.95

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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.