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Finding the Fourth Proportional to 207,768.40, 311,798.40 and 133,070.20

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Solution

The fourth proportional to 207,768.40, 311,798.40 and 133,070.20 is: 199,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,768.40 : 311,798.40 = 133,070.20 : x
  2. Step 2: Convert to fraction form
    207,768.40/311,798.40 = 133,070.20/x
  3. Step 3: Cross multiply
    207,768.40x = 311,798.40 × 133,070.20
  4. Step 4: Simplify right side
    207,768.40x = 41,491,075,447.68
  5. Step 5: Solve for x
    x = 41,491,075,447.68/207,768.40
  6. Step 6: Final answer
    x = 199,698.68

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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.