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Finding the Fourth Proportional to 383,667.95, 574,677.15 and 311,295.67

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Solution

The fourth proportional to 383,667.95, 574,677.15 and 311,295.67 is: 466,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,667.95 : 574,677.15 = 311,295.67 : x
  2. Step 2: Convert to fraction form
    383,667.95/574,677.15 = 311,295.67/x
  3. Step 3: Cross multiply
    383,667.95x = 574,677.15 × 311,295.67
  4. Step 4: Simplify right side
    383,667.95x = 178,894,505,838.89
  5. Step 5: Solve for x
    x = 178,894,505,838.89/383,667.95
  6. Step 6: Final answer
    x = 466,274.30

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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.