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Finding the Fourth Proportional to 511,142.56, 766,864.14 and 151,322.56

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Solution

The fourth proportional to 511,142.56, 766,864.14 and 151,322.56 is: 227,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,142.56 : 766,864.14 = 151,322.56 : x
  2. Step 2: Convert to fraction form
    511,142.56/766,864.14 = 151,322.56/x
  3. Step 3: Cross multiply
    511,142.56x = 766,864.14 × 151,322.56
  4. Step 4: Simplify right side
    511,142.56x = 116,043,844,837.00
  5. Step 5: Solve for x
    x = 116,043,844,837.00/511,142.56
  6. Step 6: Final answer
    x = 227,028.34

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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.