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Finding the Fourth Proportional to 209,200.10, 313,800.15 and 209,200.10

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Solution

The fourth proportional to 209,200.10, 313,800.15 and 209,200.10 is: 313,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,200.10 : 313,800.15 = 209,200.10 : x
  2. Step 2: Convert to fraction form
    209,200.10/313,800.15 = 209,200.10/x
  3. Step 3: Cross multiply
    209,200.10x = 313,800.15 × 209,200.10
  4. Step 4: Simplify right side
    209,200.10x = 65,647,022,760.02
  5. Step 5: Solve for x
    x = 65,647,022,760.02/209,200.10
  6. Step 6: Final answer
    x = 313,800.15

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1.5x scale

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.