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Finding the Fourth Proportional to 511,509, 767,374.26 and 195,965.92

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Solution

The fourth proportional to 511,509, 767,374.26 and 195,965.92 is: 293,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,509 : 767,374.26 = 195,965.92 : x
  2. Step 2: Convert to fraction form
    511,509/767,374.26 = 195,965.92/x
  3. Step 3: Cross multiply
    511,509x = 767,374.26 × 195,965.92
  4. Step 4: Simplify right side
    511,509x = 150,379,202,845.22
  5. Step 5: Solve for x
    x = 150,379,202,845.22/511,509
  6. Step 6: Final answer
    x = 293,991.31

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1.5x scale

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.