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Finding the Fourth Proportional to 278,405.70, 384,200.85 and 151,081.26

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Solution

The fourth proportional to 278,405.70, 384,200.85 and 151,081.26 is: 208,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,405.70 : 384,200.85 = 151,081.26 : x
  2. Step 2: Convert to fraction form
    278,405.70/384,200.85 = 151,081.26/x
  3. Step 3: Cross multiply
    278,405.70x = 384,200.85 × 151,081.26
  4. Step 4: Simplify right side
    278,405.70x = 58,045,548,511.07
  5. Step 5: Solve for x
    x = 58,045,548,511.07/278,405.70
  6. Step 6: Final answer
    x = 208,492.67

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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.