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Finding the Fourth Proportional to 515,067.44, 771,604.80 and 289,743.20

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Solution

The fourth proportional to 515,067.44, 771,604.80 and 289,743.20 is: 434,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,067.44 : 771,604.80 = 289,743.20 : x
  2. Step 2: Convert to fraction form
    515,067.44/771,604.80 = 289,743.20/x
  3. Step 3: Cross multiply
    515,067.44x = 771,604.80 × 289,743.20
  4. Step 4: Simplify right side
    515,067.44x = 223,567,243,887.36
  5. Step 5: Solve for x
    x = 223,567,243,887.36/515,067.44
  6. Step 6: Final answer
    x = 434,054.31

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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.