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Finding the Fourth Proportional to 301,078.80, 450,743.40 and 201,351.60

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Solution

The fourth proportional to 301,078.80, 450,743.40 and 201,351.60 is: 301,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,078.80 : 450,743.40 = 201,351.60 : x
  2. Step 2: Convert to fraction form
    301,078.80/450,743.40 = 201,351.60/x
  3. Step 3: Cross multiply
    301,078.80x = 450,743.40 × 201,351.60
  4. Step 4: Simplify right side
    301,078.80x = 90,757,904,779.44
  5. Step 5: Solve for x
    x = 90,757,904,779.44/301,078.80
  6. Step 6: Final answer
    x = 301,442.36

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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.