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Finding the Fourth Proportional to 512,028, 768,114.90 and 272,079.27

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Solution

The fourth proportional to 512,028, 768,114.90 and 272,079.27 is: 408,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,028 : 768,114.90 = 272,079.27 : x
  2. Step 2: Convert to fraction form
    512,028/768,114.90 = 272,079.27/x
  3. Step 3: Cross multiply
    512,028x = 768,114.90 × 272,079.27
  4. Step 4: Simplify right side
    512,028x = 208,988,141,268.12
  5. Step 5: Solve for x
    x = 208,988,141,268.12/512,028
  6. Step 6: Final answer
    x = 408,157.64

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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.