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Finding the Fourth Proportional to 270,735.33, 405,659.11 and 191,707.68

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Solution

The fourth proportional to 270,735.33, 405,659.11 and 191,707.68 is: 287,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,735.33 : 405,659.11 = 191,707.68 : x
  2. Step 2: Convert to fraction form
    270,735.33/405,659.11 = 191,707.68/x
  3. Step 3: Cross multiply
    270,735.33x = 405,659.11 × 191,707.68
  4. Step 4: Simplify right side
    270,735.33x = 77,767,966,848.96
  5. Step 5: Solve for x
    x = 77,767,966,848.96/270,735.33
  6. Step 6: Final answer
    x = 287,247.21

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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.