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Finding the Fourth Proportional to 511,365.36, 767,047.56 and 137,388.36

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Solution

The fourth proportional to 511,365.36, 767,047.56 and 137,388.36 is: 206,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,365.36 : 767,047.56 = 137,388.36 : x
  2. Step 2: Convert to fraction form
    511,365.36/767,047.56 = 137,388.36/x
  3. Step 3: Cross multiply
    511,365.36x = 767,047.56 × 137,388.36
  4. Step 4: Simplify right side
    511,365.36x = 105,383,406,310.40
  5. Step 5: Solve for x
    x = 105,383,406,310.40/511,365.36
  6. Step 6: Final answer
    x = 206,082.41

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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.