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Finding the Fourth Proportional to 209,316.20, 313,974.30 and 207,347.90

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Solution

The fourth proportional to 209,316.20, 313,974.30 and 207,347.90 is: 311,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,316.20 : 313,974.30 = 207,347.90 : x
  2. Step 2: Convert to fraction form
    209,316.20/313,974.30 = 207,347.90/x
  3. Step 3: Cross multiply
    209,316.20x = 313,974.30 × 207,347.90
  4. Step 4: Simplify right side
    209,316.20x = 65,101,911,758.97
  5. Step 5: Solve for x
    x = 65,101,911,758.97/209,316.20
  6. Step 6: Final answer
    x = 311,021.85

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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.