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Finding the Fourth Proportional to 861,159, 1,292,049.54 and 270,183

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Solution

The fourth proportional to 861,159, 1,292,049.54 and 270,183 is: 405,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,159 : 1,292,049.54 = 270,183 : x
  2. Step 2: Convert to fraction form
    861,159/1,292,049.54 = 270,183/x
  3. Step 3: Cross multiply
    861,159x = 1,292,049.54 × 270,183
  4. Step 4: Simplify right side
    861,159x = 349,089,820,865.82
  5. Step 5: Solve for x
    x = 349,089,820,865.82/861,159
  6. Step 6: Final answer
    x = 405,372.09

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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.