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Finding the Fourth Proportional to 511,380.68, 767,101.26 and 156,419.24

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Solution

The fourth proportional to 511,380.68, 767,101.26 and 156,419.24 is: 234,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,380.68 : 767,101.26 = 156,419.24 : x
  2. Step 2: Convert to fraction form
    511,380.68/767,101.26 = 156,419.24/x
  3. Step 3: Cross multiply
    511,380.68x = 767,101.26 × 156,419.24
  4. Step 4: Simplify right side
    511,380.68x = 119,989,396,092.24
  5. Step 5: Solve for x
    x = 119,989,396,092.24/511,380.68
  6. Step 6: Final answer
    x = 234,638.11

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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.