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Finding the Fourth Proportional to 270,705.21, 405,917.65 and 144,311.51

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Solution

The fourth proportional to 270,705.21, 405,917.65 and 144,311.51 is: 216,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,705.21 : 405,917.65 = 144,311.51 : x
  2. Step 2: Convert to fraction form
    270,705.21/405,917.65 = 144,311.51/x
  3. Step 3: Cross multiply
    270,705.21x = 405,917.65 × 144,311.51
  4. Step 4: Simplify right side
    270,705.21x = 58,578,587,107.30
  5. Step 5: Solve for x
    x = 58,578,587,107.30/270,705.21
  6. Step 6: Final answer
    x = 216,392.53

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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.