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Finding the Fourth Proportional to 371,308.12, 512,405.82 and 201,542.20

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Solution

The fourth proportional to 371,308.12, 512,405.82 and 201,542.20 is: 278,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,308.12 : 512,405.82 = 201,542.20 : x
  2. Step 2: Convert to fraction form
    371,308.12/512,405.82 = 201,542.20/x
  3. Step 3: Cross multiply
    371,308.12x = 512,405.82 × 201,542.20
  4. Step 4: Simplify right side
    371,308.12x = 103,271,396,255.60
  5. Step 5: Solve for x
    x = 103,271,396,255.60/371,308.12
  6. Step 6: Final answer
    x = 278,128.57

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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.