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Finding the Fourth Proportional to 301,057.37, 415,149.02 and 210,380.10

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Solution

The fourth proportional to 301,057.37, 415,149.02 and 210,380.10 is: 290,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,057.37 : 415,149.02 = 210,380.10 : x
  2. Step 2: Convert to fraction form
    301,057.37/415,149.02 = 210,380.10/x
  3. Step 3: Cross multiply
    301,057.37x = 415,149.02 × 210,380.10
  4. Step 4: Simplify right side
    301,057.37x = 87,339,089,214.86
  5. Step 5: Solve for x
    x = 87,339,089,214.86/301,057.37
  6. Step 6: Final answer
    x = 290,107.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.