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Finding the Fourth Proportional to 311,906.30, 468,024.29 and 221,307.22

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Solution

The fourth proportional to 311,906.30, 468,024.29 and 221,307.22 is: 332,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.30 : 468,024.29 = 221,307.22 : x
  2. Step 2: Convert to fraction form
    311,906.30/468,024.29 = 221,307.22/x
  3. Step 3: Cross multiply
    311,906.30x = 468,024.29 × 221,307.22
  4. Step 4: Simplify right side
    311,906.30x = 103,577,151,065.72
  5. Step 5: Solve for x
    x = 103,577,151,065.72/311,906.30
  6. Step 6: Final answer
    x = 332,077.78

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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.