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Finding the Fourth Proportional to 311,906.55, 468,024.66 and 221,307.47

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Solution

The fourth proportional to 311,906.55, 468,024.66 and 221,307.47 is: 332,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.55 : 468,024.66 = 221,307.47 : x
  2. Step 2: Convert to fraction form
    311,906.55/468,024.66 = 221,307.47/x
  3. Step 3: Cross multiply
    311,906.55x = 468,024.66 × 221,307.47
  4. Step 4: Simplify right side
    311,906.55x = 103,577,353,402.21
  5. Step 5: Solve for x
    x = 103,577,353,402.21/311,906.55
  6. Step 6: Final answer
    x = 332,078.16

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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.