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Finding the Fourth Proportional to 270,742.46, 405,669.80 and 191,714.81

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Solution

The fourth proportional to 270,742.46, 405,669.80 and 191,714.81 is: 287,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,742.46 : 405,669.80 = 191,714.81 : x
  2. Step 2: Convert to fraction form
    270,742.46/405,669.80 = 191,714.81/x
  3. Step 3: Cross multiply
    270,742.46x = 405,669.80 × 191,714.81
  4. Step 4: Simplify right side
    270,742.46x = 77,772,907,080.68
  5. Step 5: Solve for x
    x = 77,772,907,080.68/270,742.46
  6. Step 6: Final answer
    x = 287,257.89

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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.