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Finding the Fourth Proportional to 511,148.56, 766,873.14 and 151,328.56

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Solution

The fourth proportional to 511,148.56, 766,873.14 and 151,328.56 is: 227,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,148.56 : 766,873.14 = 151,328.56 : x
  2. Step 2: Convert to fraction form
    511,148.56/766,873.14 = 151,328.56/x
  3. Step 3: Cross multiply
    511,148.56x = 766,873.14 × 151,328.56
  4. Step 4: Simplify right side
    511,148.56x = 116,049,807,978.88
  5. Step 5: Solve for x
    x = 116,049,807,978.88/511,148.56
  6. Step 6: Final answer
    x = 227,037.34

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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.