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Finding the Fourth Proportional to 511,142.90, 766,722.34 and 151,350.26

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Solution

The fourth proportional to 511,142.90, 766,722.34 and 151,350.26 is: 227,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,142.90 : 766,722.34 = 151,350.26 : x
  2. Step 2: Convert to fraction form
    511,142.90/766,722.34 = 151,350.26/x
  3. Step 3: Cross multiply
    511,142.90x = 766,722.34 × 151,350.26
  4. Step 4: Simplify right side
    511,142.90x = 116,043,625,506.81
  5. Step 5: Solve for x
    x = 116,043,625,506.81/511,142.90
  6. Step 6: Final answer
    x = 227,027.76

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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.