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Finding the Fourth Proportional to 512,266, 768,460.36 and 157,233.52

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Solution

The fourth proportional to 512,266, 768,460.36 and 157,233.52 is: 235,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,266 : 768,460.36 = 157,233.52 : x
  2. Step 2: Convert to fraction form
    512,266/768,460.36 = 157,233.52/x
  3. Step 3: Cross multiply
    512,266x = 768,460.36 × 157,233.52
  4. Step 4: Simplify right side
    512,266x = 120,827,727,383.27
  5. Step 5: Solve for x
    x = 120,827,727,383.27/512,266
  6. Step 6: Final answer
    x = 235,869.11

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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.