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Finding the Fourth Proportional to 278,408.42, 384,201.37 and 151,084.01

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Solution

The fourth proportional to 278,408.42, 384,201.37 and 151,084.01 is: 208,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,408.42 : 384,201.37 = 151,084.01 : x
  2. Step 2: Convert to fraction form
    278,408.42/384,201.37 = 151,084.01/x
  3. Step 3: Cross multiply
    278,408.42x = 384,201.37 × 151,084.01
  4. Step 4: Simplify right side
    278,408.42x = 58,046,681,328.38
  5. Step 5: Solve for x
    x = 58,046,681,328.38/278,408.42
  6. Step 6: Final answer
    x = 208,494.71

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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.