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Finding the Fourth Proportional to 512,435.90, 768,769.05 and 157,466.30

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Solution

The fourth proportional to 512,435.90, 768,769.05 and 157,466.30 is: 236,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,435.90 : 768,769.05 = 157,466.30 : x
  2. Step 2: Convert to fraction form
    512,435.90/768,769.05 = 157,466.30/x
  3. Step 3: Cross multiply
    512,435.90x = 768,769.05 × 157,466.30
  4. Step 4: Simplify right side
    512,435.90x = 121,055,217,858.02
  5. Step 5: Solve for x
    x = 121,055,217,858.02/512,435.90
  6. Step 6: Final answer
    x = 236,234.85

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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.