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Finding the Fourth Proportional to 321,202.90, 481,804.35 and 171,903.70

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Solution

The fourth proportional to 321,202.90, 481,804.35 and 171,903.70 is: 257,855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,202.90 : 481,804.35 = 171,903.70 : x
  2. Step 2: Convert to fraction form
    321,202.90/481,804.35 = 171,903.70/x
  3. Step 3: Cross multiply
    321,202.90x = 481,804.35 × 171,903.70
  4. Step 4: Simplify right side
    321,202.90x = 82,823,950,441.10
  5. Step 5: Solve for x
    x = 82,823,950,441.10/321,202.90
  6. Step 6: Final answer
    x = 257,855.55

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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.