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Finding the Fourth Proportional to 278,245.85, 383,979.29 and 157,384.54

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Solution

The fourth proportional to 278,245.85, 383,979.29 and 157,384.54 is: 217,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,245.85 : 383,979.29 = 157,384.54 : x
  2. Step 2: Convert to fraction form
    278,245.85/383,979.29 = 157,384.54/x
  3. Step 3: Cross multiply
    278,245.85x = 383,979.29 × 157,384.54
  4. Step 4: Simplify right side
    278,245.85x = 60,432,403,926.18
  5. Step 5: Solve for x
    x = 60,432,403,926.18/278,245.85
  6. Step 6: Final answer
    x = 217,190.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.