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Finding the Fourth Proportional to 511,793.60, 768,074.40 and 262,347.20

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Solution

The fourth proportional to 511,793.60, 768,074.40 and 262,347.20 is: 393,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,793.60 : 768,074.40 = 262,347.20 : x
  2. Step 2: Convert to fraction form
    511,793.60/768,074.40 = 262,347.20/x
  3. Step 3: Cross multiply
    511,793.60x = 768,074.40 × 262,347.20
  4. Step 4: Simplify right side
    511,793.60x = 201,502,168,231.68
  5. Step 5: Solve for x
    x = 201,502,168,231.68/511,793.60
  6. Step 6: Final answer
    x = 393,717.64

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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.