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Finding the Fourth Proportional to 278,018.68, 416,964.06 and 165,730.60

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Solution

The fourth proportional to 278,018.68, 416,964.06 and 165,730.60 is: 248,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,018.68 : 416,964.06 = 165,730.60 : x
  2. Step 2: Convert to fraction form
    278,018.68/416,964.06 = 165,730.60/x
  3. Step 3: Cross multiply
    278,018.68x = 416,964.06 × 165,730.60
  4. Step 4: Simplify right side
    278,018.68x = 69,103,703,842.24
  5. Step 5: Solve for x
    x = 69,103,703,842.24/278,018.68
  6. Step 6: Final answer
    x = 248,557.77

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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.