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Finding the Fourth Proportional to 511,055.40, 766,874.70 and 195,738.60

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Solution

The fourth proportional to 511,055.40, 766,874.70 and 195,738.60 is: 293,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,055.40 : 766,874.70 = 195,738.60 : x
  2. Step 2: Convert to fraction form
    511,055.40/766,874.70 = 195,738.60/x
  3. Step 3: Cross multiply
    511,055.40x = 766,874.70 × 195,738.60
  4. Step 4: Simplify right side
    511,055.40x = 150,106,980,153.42
  5. Step 5: Solve for x
    x = 150,106,980,153.42/511,055.40
  6. Step 6: Final answer
    x = 293,719.59

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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.