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Finding the Fourth Proportional to 280,682.82, 387,312.44 and 165,965.83

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Solution

The fourth proportional to 280,682.82, 387,312.44 and 165,965.83 is: 229,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,682.82 : 387,312.44 = 165,965.83 : x
  2. Step 2: Convert to fraction form
    280,682.82/387,312.44 = 165,965.83/x
  3. Step 3: Cross multiply
    280,682.82x = 387,312.44 × 165,965.83
  4. Step 4: Simplify right side
    280,682.82x = 64,280,628,775.82
  5. Step 5: Solve for x
    x = 64,280,628,775.82/280,682.82
  6. Step 6: Final answer
    x = 229,015.19

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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.