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Finding the Fourth Proportional to 511,506.99, 767,264.31 and 227,120.97

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Solution

The fourth proportional to 511,506.99, 767,264.31 and 227,120.97 is: 340,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,506.99 : 767,264.31 = 227,120.97 : x
  2. Step 2: Convert to fraction form
    511,506.99/767,264.31 = 227,120.97/x
  3. Step 3: Cross multiply
    511,506.99x = 767,264.31 × 227,120.97
  4. Step 4: Simplify right side
    511,506.99x = 174,261,814,333.58
  5. Step 5: Solve for x
    x = 174,261,814,333.58/511,506.99
  6. Step 6: Final answer
    x = 340,683.15

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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.