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Finding the Fourth Proportional to 208,114.40, 311,480.40 and 145,906.40

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Solution

The fourth proportional to 208,114.40, 311,480.40 and 145,906.40 is: 218,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,114.40 : 311,480.40 = 145,906.40 : x
  2. Step 2: Convert to fraction form
    208,114.40/311,480.40 = 145,906.40/x
  3. Step 3: Cross multiply
    208,114.40x = 311,480.40 × 145,906.40
  4. Step 4: Simplify right side
    208,114.40x = 45,446,983,834.56
  5. Step 5: Solve for x
    x = 45,446,983,834.56/208,114.40
  6. Step 6: Final answer
    x = 218,375.01

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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.