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Finding the Fourth Proportional to 278,388.26, 384,176.80 and 151,063.86

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Solution

The fourth proportional to 278,388.26, 384,176.80 and 151,063.86 is: 208,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,388.26 : 384,176.80 = 151,063.86 : x
  2. Step 2: Convert to fraction form
    278,388.26/384,176.80 = 151,063.86/x
  3. Step 3: Cross multiply
    278,388.26x = 384,176.80 × 151,063.86
  4. Step 4: Simplify right side
    278,388.26x = 58,035,230,330.45
  5. Step 5: Solve for x
    x = 58,035,230,330.45/278,388.26
  6. Step 6: Final answer
    x = 208,468.67

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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.