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Finding the Fourth Proportional to 371,308.80, 512,415.40 and 201,542.56

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Solution

The fourth proportional to 371,308.80, 512,415.40 and 201,542.56 is: 278,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,308.80 : 512,415.40 = 201,542.56 : x
  2. Step 2: Convert to fraction form
    371,308.80/512,415.40 = 201,542.56/x
  3. Step 3: Cross multiply
    371,308.80x = 512,415.40 × 201,542.56
  4. Step 4: Simplify right side
    371,308.80x = 103,273,511,499.42
  5. Step 5: Solve for x
    x = 103,273,511,499.42/371,308.80
  6. Step 6: Final answer
    x = 278,133.76

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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.