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Finding the Fourth Proportional to 511,968.80, 768,390.60 and 228,096.20

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Solution

The fourth proportional to 511,968.80, 768,390.60 and 228,096.20 is: 342,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,968.80 : 768,390.60 = 228,096.20 : x
  2. Step 2: Convert to fraction form
    511,968.80/768,390.60 = 228,096.20/x
  3. Step 3: Cross multiply
    511,968.80x = 768,390.60 × 228,096.20
  4. Step 4: Simplify right side
    511,968.80x = 175,266,975,975.72
  5. Step 5: Solve for x
    x = 175,266,975,975.72/511,968.80
  6. Step 6: Final answer
    x = 342,339.17

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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.