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Finding the Fourth Proportional to 301,147, 451,118.24 and 181,137.70

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Solution

The fourth proportional to 301,147, 451,118.24 and 181,137.70 is: 271,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,147 : 451,118.24 = 181,137.70 : x
  2. Step 2: Convert to fraction form
    301,147/451,118.24 = 181,137.70/x
  3. Step 3: Cross multiply
    301,147x = 451,118.24 × 181,137.70
  4. Step 4: Simplify right side
    301,147x = 81,714,520,421.65
  5. Step 5: Solve for x
    x = 81,714,520,421.65/301,147
  6. Step 6: Final answer
    x = 271,344.30

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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.