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Finding the Fourth Proportional to 511,944, 706,482.72 and 285,589.44

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Solution

The fourth proportional to 511,944, 706,482.72 and 285,589.44 is: 394,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,944 : 706,482.72 = 285,589.44 : x
  2. Step 2: Convert to fraction form
    511,944/706,482.72 = 285,589.44/x
  3. Step 3: Cross multiply
    511,944x = 706,482.72 × 285,589.44
  4. Step 4: Simplify right side
    511,944x = 201,764,004,374.48
  5. Step 5: Solve for x
    x = 201,764,004,374.48/511,944
  6. Step 6: Final answer
    x = 394,113.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.