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Finding the Fourth Proportional to 278,317.01, 384,078.20 and 150,992.61

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Solution

The fourth proportional to 278,317.01, 384,078.20 and 150,992.61 is: 208,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,317.01 : 384,078.20 = 150,992.61 : x
  2. Step 2: Convert to fraction form
    278,317.01/384,078.20 = 150,992.61/x
  3. Step 3: Cross multiply
    278,317.01x = 384,078.20 × 150,992.61
  4. Step 4: Simplify right side
    278,317.01x = 57,992,969,862.10
  5. Step 5: Solve for x
    x = 57,992,969,862.10/278,317.01
  6. Step 6: Final answer
    x = 208,370.20

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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.