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Finding the Fourth Proportional to 207,653.40, 311,480.10 and 206,341.20

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Solution

The fourth proportional to 207,653.40, 311,480.10 and 206,341.20 is: 309,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,653.40 : 311,480.10 = 206,341.20 : x
  2. Step 2: Convert to fraction form
    207,653.40/311,480.10 = 206,341.20/x
  3. Step 3: Cross multiply
    207,653.40x = 311,480.10 × 206,341.20
  4. Step 4: Simplify right side
    207,653.40x = 64,271,177,610.12
  5. Step 5: Solve for x
    x = 64,271,177,610.12/207,653.40
  6. Step 6: Final answer
    x = 309,511.80

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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.