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Finding the Fourth Proportional to 207,969.40, 311,370.90 and 202,137.40

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Solution

The fourth proportional to 207,969.40, 311,370.90 and 202,137.40 is: 302,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,969.40 : 311,370.90 = 202,137.40 : x
  2. Step 2: Convert to fraction form
    207,969.40/311,370.90 = 202,137.40/x
  3. Step 3: Cross multiply
    207,969.40x = 311,370.90 × 202,137.40
  4. Step 4: Simplify right side
    207,969.40x = 62,939,704,161.66
  5. Step 5: Solve for x
    x = 62,939,704,161.66/207,969.40
  6. Step 6: Final answer
    x = 302,639.25

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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.