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Finding the Fourth Proportional to 278,470.44, 384,289.56 and 151,146

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Solution

The fourth proportional to 278,470.44, 384,289.56 and 151,146 is: 208,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,470.44 : 384,289.56 = 151,146 : x
  2. Step 2: Convert to fraction form
    278,470.44/384,289.56 = 151,146/x
  3. Step 3: Cross multiply
    278,470.44x = 384,289.56 × 151,146
  4. Step 4: Simplify right side
    278,470.44x = 58,083,829,835.76
  5. Step 5: Solve for x
    x = 58,083,829,835.76/278,470.44
  6. Step 6: Final answer
    x = 208,581.67

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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.