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Finding the Fourth Proportional to 654,708.96, 981,954.09 and 181,442.16

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Solution

The fourth proportional to 654,708.96, 981,954.09 and 181,442.16 is: 272,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,708.96 : 981,954.09 = 181,442.16 : x
  2. Step 2: Convert to fraction form
    654,708.96/981,954.09 = 181,442.16/x
  3. Step 3: Cross multiply
    654,708.96x = 981,954.09 × 181,442.16
  4. Step 4: Simplify right side
    654,708.96x = 178,167,871,110.43
  5. Step 5: Solve for x
    x = 178,167,871,110.43/654,708.96
  6. Step 6: Final answer
    x = 272,132.94

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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.