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Finding the Fourth Proportional to 208,025.70, 312,213.60 and 194,903.70

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Solution

The fourth proportional to 208,025.70, 312,213.60 and 194,903.70 is: 292,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,025.70 : 312,213.60 = 194,903.70 : x
  2. Step 2: Convert to fraction form
    208,025.70/312,213.60 = 194,903.70/x
  3. Step 3: Cross multiply
    208,025.70x = 312,213.60 × 194,903.70
  4. Step 4: Simplify right side
    208,025.70x = 60,851,585,830.32
  5. Step 5: Solve for x
    x = 60,851,585,830.32/208,025.70
  6. Step 6: Final answer
    x = 292,519.56

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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.