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Finding the Fourth Proportional to 278,018.73, 416,964.31 and 165,730.86

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Solution

The fourth proportional to 278,018.73, 416,964.31 and 165,730.86 is: 248,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,018.73 : 416,964.31 = 165,730.86 : x
  2. Step 2: Convert to fraction form
    278,018.73/416,964.31 = 165,730.86/x
  3. Step 3: Cross multiply
    278,018.73x = 416,964.31 × 165,730.86
  4. Step 4: Simplify right side
    278,018.73x = 69,103,853,271.28
  5. Step 5: Solve for x
    x = 69,103,853,271.28/278,018.73
  6. Step 6: Final answer
    x = 248,558.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.