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Finding the Fourth Proportional to 207,671.40, 311,507.10 and 206,359.20

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Solution

The fourth proportional to 207,671.40, 311,507.10 and 206,359.20 is: 309,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,671.40 : 311,507.10 = 206,359.20 : x
  2. Step 2: Convert to fraction form
    207,671.40/311,507.10 = 206,359.20/x
  3. Step 3: Cross multiply
    207,671.40x = 311,507.10 × 206,359.20
  4. Step 4: Simplify right side
    207,671.40x = 64,282,355,950.32
  5. Step 5: Solve for x
    x = 64,282,355,950.32/207,671.40
  6. Step 6: Final answer
    x = 309,538.80

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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.