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Finding the Fourth Proportional to 442,786.77, 664,179.75 and 189,903.96

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Solution

The fourth proportional to 442,786.77, 664,179.75 and 189,903.96 is: 284,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,786.77 : 664,179.75 = 189,903.96 : x
  2. Step 2: Convert to fraction form
    442,786.77/664,179.75 = 189,903.96/x
  3. Step 3: Cross multiply
    442,786.77x = 664,179.75 × 189,903.96
  4. Step 4: Simplify right side
    442,786.77x = 126,130,364,676.81
  5. Step 5: Solve for x
    x = 126,130,364,676.81/442,786.77
  6. Step 6: Final answer
    x = 284,855.77

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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.