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Finding the Fourth Proportional to 511,796, 706,278.48 and 285,441.68

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Solution

The fourth proportional to 511,796, 706,278.48 and 285,441.68 is: 393,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,796 : 706,278.48 = 285,441.68 : x
  2. Step 2: Convert to fraction form
    511,796/706,278.48 = 285,441.68/x
  3. Step 3: Cross multiply
    511,796x = 706,278.48 × 285,441.68
  4. Step 4: Simplify right side
    511,796x = 201,601,315,879.05
  5. Step 5: Solve for x
    x = 201,601,315,879.05/511,796
  6. Step 6: Final answer
    x = 393,909.52

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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.