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Finding the Fourth Proportional to 654,471.19, 981,728.25 and 181,116.91

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Solution

The fourth proportional to 654,471.19, 981,728.25 and 181,116.91 is: 271,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,471.19 : 981,728.25 = 181,116.91 : x
  2. Step 2: Convert to fraction form
    654,471.19/981,728.25 = 181,116.91/x
  3. Step 3: Cross multiply
    654,471.19x = 981,728.25 × 181,116.91
  4. Step 4: Simplify right side
    654,471.19x = 177,807,587,099.71
  5. Step 5: Solve for x
    x = 177,807,587,099.71/654,471.19
  6. Step 6: Final answer
    x = 271,681.31

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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.