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Finding the Fourth Proportional to 371,216.50, 512,279.13 and 201,450.64

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Solution

The fourth proportional to 371,216.50, 512,279.13 and 201,450.64 is: 278,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,216.50 : 512,279.13 = 201,450.64 : x
  2. Step 2: Convert to fraction form
    371,216.50/512,279.13 = 201,450.64/x
  3. Step 3: Cross multiply
    371,216.50x = 512,279.13 × 201,450.64
  4. Step 4: Simplify right side
    371,216.50x = 103,198,958,597.14
  5. Step 5: Solve for x
    x = 103,198,958,597.14/371,216.50
  6. Step 6: Final answer
    x = 278,002.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.