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Finding the Fourth Proportional to 279,101.24, 418,790.34 and 110,617.83

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Solution

The fourth proportional to 279,101.24, 418,790.34 and 110,617.83 is: 165,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,101.24 : 418,790.34 = 110,617.83 : x
  2. Step 2: Convert to fraction form
    279,101.24/418,790.34 = 110,617.83/x
  3. Step 3: Cross multiply
    279,101.24x = 418,790.34 × 110,617.83
  4. Step 4: Simplify right side
    279,101.24x = 46,325,679,952.51
  5. Step 5: Solve for x
    x = 46,325,679,952.51/279,101.24
  6. Step 6: Final answer
    x = 165,981.64

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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.