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Finding the Fourth Proportional to 207,975.90, 311,380.65 and 202,143.90

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Solution

The fourth proportional to 207,975.90, 311,380.65 and 202,143.90 is: 302,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,975.90 : 311,380.65 = 202,143.90 : x
  2. Step 2: Convert to fraction form
    207,975.90/311,380.65 = 202,143.90/x
  3. Step 3: Cross multiply
    207,975.90x = 311,380.65 × 202,143.90
  4. Step 4: Simplify right side
    207,975.90x = 62,943,698,975.54
  5. Step 5: Solve for x
    x = 62,943,698,975.54/207,975.90
  6. Step 6: Final answer
    x = 302,649.00

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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.