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Finding the Fourth Proportional to 511,829.64, 766,228.14 and 379,305

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Solution

The fourth proportional to 511,829.64, 766,228.14 and 379,305 is: 567,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,829.64 : 766,228.14 = 379,305 : x
  2. Step 2: Convert to fraction form
    511,829.64/766,228.14 = 379,305/x
  3. Step 3: Cross multiply
    511,829.64x = 766,228.14 × 379,305
  4. Step 4: Simplify right side
    511,829.64x = 290,634,164,642.70
  5. Step 5: Solve for x
    x = 290,634,164,642.70/511,829.64
  6. Step 6: Final answer
    x = 567,833.79

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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.