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Finding the Fourth Proportional to 279,215.51, 418,739.54 and 119,284.98

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Solution

The fourth proportional to 279,215.51, 418,739.54 and 119,284.98 is: 178,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,215.51 : 418,739.54 = 119,284.98 : x
  2. Step 2: Convert to fraction form
    279,215.51/418,739.54 = 119,284.98/x
  3. Step 3: Cross multiply
    279,215.51x = 418,739.54 × 119,284.98
  4. Step 4: Simplify right side
    279,215.51x = 49,949,336,832.86
  5. Step 5: Solve for x
    x = 49,949,336,832.86/279,215.51
  6. Step 6: Final answer
    x = 178,891.70

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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.