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Finding the Fourth Proportional to 278,397.36, 384,189.36 and 151,072.96

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Solution

The fourth proportional to 278,397.36, 384,189.36 and 151,072.96 is: 208,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,397.36 : 384,189.36 = 151,072.96 : x
  2. Step 2: Convert to fraction form
    278,397.36/384,189.36 = 151,072.96/x
  3. Step 3: Cross multiply
    278,397.36x = 384,189.36 × 151,072.96
  4. Step 4: Simplify right side
    278,397.36x = 58,040,623,815.71
  5. Step 5: Solve for x
    x = 58,040,623,815.71/278,397.36
  6. Step 6: Final answer
    x = 208,481.23

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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.