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Finding the Fourth Proportional to 278,497.44, 384,270.48 and 171,084.96

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Solution

The fourth proportional to 278,497.44, 384,270.48 and 171,084.96 is: 236,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,497.44 : 384,270.48 = 171,084.96 : x
  2. Step 2: Convert to fraction form
    278,497.44/384,270.48 = 171,084.96/x
  3. Step 3: Cross multiply
    278,497.44x = 384,270.48 × 171,084.96
  4. Step 4: Simplify right side
    278,497.44x = 65,742,899,699.98
  5. Step 5: Solve for x
    x = 65,742,899,699.98/278,497.44
  6. Step 6: Final answer
    x = 236,062.85

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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.