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Finding the Fourth Proportional to 512,021.80, 768,032.70 and 157,090.60

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Solution

The fourth proportional to 512,021.80, 768,032.70 and 157,090.60 is: 235,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,021.80 : 768,032.70 = 157,090.60 : x
  2. Step 2: Convert to fraction form
    512,021.80/768,032.70 = 157,090.60/x
  3. Step 3: Cross multiply
    512,021.80x = 768,032.70 × 157,090.60
  4. Step 4: Simplify right side
    512,021.80x = 120,650,717,662.62
  5. Step 5: Solve for x
    x = 120,650,717,662.62/512,021.80
  6. Step 6: Final answer
    x = 235,635.90

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Similar ratio
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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.