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Finding the Fourth Proportional to 207,428.80, 311,143.20 and 74,313.40

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Solution

The fourth proportional to 207,428.80, 311,143.20 and 74,313.40 is: 111,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,428.80 : 311,143.20 = 74,313.40 : x
  2. Step 2: Convert to fraction form
    207,428.80/311,143.20 = 74,313.40/x
  3. Step 3: Cross multiply
    207,428.80x = 311,143.20 × 74,313.40
  4. Step 4: Simplify right side
    207,428.80x = 23,122,109,078.88
  5. Step 5: Solve for x
    x = 23,122,109,078.88/207,428.80
  6. Step 6: Final answer
    x = 111,470.10

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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.