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Finding the Fourth Proportional to 512,101.28, 768,271.44 and 175,144.56

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Solution

The fourth proportional to 512,101.28, 768,271.44 and 175,144.56 is: 262,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,101.28 : 768,271.44 = 175,144.56 : x
  2. Step 2: Convert to fraction form
    512,101.28/768,271.44 = 175,144.56/x
  3. Step 3: Cross multiply
    512,101.28x = 768,271.44 × 175,144.56
  4. Step 4: Simplify right side
    512,101.28x = 134,558,563,319.37
  5. Step 5: Solve for x
    x = 134,558,563,319.37/512,101.28
  6. Step 6: Final answer
    x = 262,757.72

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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.