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Finding the Fourth Proportional to 301,082.88, 415,360 and 193,632.64

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Solution

The fourth proportional to 301,082.88, 415,360 and 193,632.64 is: 267,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082.88 : 415,360 = 193,632.64 : x
  2. Step 2: Convert to fraction form
    301,082.88/415,360 = 193,632.64/x
  3. Step 3: Cross multiply
    301,082.88x = 415,360 × 193,632.64
  4. Step 4: Simplify right side
    301,082.88x = 80,427,253,350.40
  5. Step 5: Solve for x
    x = 80,427,253,350.40/301,082.88
  6. Step 6: Final answer
    x = 267,126.62

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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.