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Finding the Fourth Proportional to 277,665.51, 416,498.32 and 100,172.46

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Solution

The fourth proportional to 277,665.51, 416,498.32 and 100,172.46 is: 150,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,665.51 : 416,498.32 = 100,172.46 : x
  2. Step 2: Convert to fraction form
    277,665.51/416,498.32 = 100,172.46/x
  3. Step 3: Cross multiply
    277,665.51x = 416,498.32 × 100,172.46
  4. Step 4: Simplify right side
    277,665.51x = 41,721,660,807.65
  5. Step 5: Solve for x
    x = 41,721,660,807.65/277,665.51
  6. Step 6: Final answer
    x = 150,258.71

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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.