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Finding the Fourth Proportional to 324,150.61, 486,208.34 and 99,511.09

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Solution

The fourth proportional to 324,150.61, 486,208.34 and 99,511.09 is: 149,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,150.61 : 486,208.34 = 99,511.09 : x
  2. Step 2: Convert to fraction form
    324,150.61/486,208.34 = 99,511.09/x
  3. Step 3: Cross multiply
    324,150.61x = 486,208.34 × 99,511.09
  4. Step 4: Simplify right side
    324,150.61x = 48,383,121,880.49
  5. Step 5: Solve for x
    x = 48,383,121,880.49/324,150.61
  6. Step 6: Final answer
    x = 149,261.24

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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.