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Finding the Fourth Proportional to 511,031.48, 766,659.42 and 151,174.16

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Solution

The fourth proportional to 511,031.48, 766,659.42 and 151,174.16 is: 226,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,031.48 : 766,659.42 = 151,174.16 : x
  2. Step 2: Convert to fraction form
    511,031.48/766,659.42 = 151,174.16/x
  3. Step 3: Cross multiply
    511,031.48x = 766,659.42 × 151,174.16
  4. Step 4: Simplify right side
    511,031.48x = 115,899,089,991.29
  5. Step 5: Solve for x
    x = 115,899,089,991.29/511,031.48
  6. Step 6: Final answer
    x = 226,794.43

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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.