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Finding the Fourth Proportional to 321,202.85, 481,804.28 and 99,558.05

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Solution

The fourth proportional to 321,202.85, 481,804.28 and 99,558.05 is: 149,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,202.85 : 481,804.28 = 99,558.05 : x
  2. Step 2: Convert to fraction form
    321,202.85/481,804.28 = 99,558.05/x
  3. Step 3: Cross multiply
    321,202.85x = 481,804.28 × 99,558.05
  4. Step 4: Simplify right side
    321,202.85x = 47,967,494,100.66
  5. Step 5: Solve for x
    x = 47,967,494,100.66/321,202.85
  6. Step 6: Final answer
    x = 149,337.08

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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.