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Finding the Fourth Proportional to 511,713.60, 767,570.40 and 137,736.60

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Solution

The fourth proportional to 511,713.60, 767,570.40 and 137,736.60 is: 206,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,713.60 : 767,570.40 = 137,736.60 : x
  2. Step 2: Convert to fraction form
    511,713.60/767,570.40 = 137,736.60/x
  3. Step 3: Cross multiply
    511,713.60x = 767,570.40 × 137,736.60
  4. Step 4: Simplify right side
    511,713.60x = 105,722,537,156.64
  5. Step 5: Solve for x
    x = 105,722,537,156.64/511,713.60
  6. Step 6: Final answer
    x = 206,604.90

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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.