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Finding the Fourth Proportional to 209,321.20, 313,981.80 and 207,352.90

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Solution

The fourth proportional to 209,321.20, 313,981.80 and 207,352.90 is: 311,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,321.20 : 313,981.80 = 207,352.90 : x
  2. Step 2: Convert to fraction form
    209,321.20/313,981.80 = 207,352.90/x
  3. Step 3: Cross multiply
    209,321.20x = 313,981.80 × 207,352.90
  4. Step 4: Simplify right side
    209,321.20x = 65,105,036,777.22
  5. Step 5: Solve for x
    x = 65,105,036,777.22/209,321.20
  6. Step 6: Final answer
    x = 311,029.35

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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.