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Finding the Fourth Proportional to 324,009.40, 485,795.40 and 172,231.60

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Solution

The fourth proportional to 324,009.40, 485,795.40 and 172,231.60 is: 258,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,009.40 : 485,795.40 = 172,231.60 : x
  2. Step 2: Convert to fraction form
    324,009.40/485,795.40 = 172,231.60/x
  3. Step 3: Cross multiply
    324,009.40x = 485,795.40 × 172,231.60
  4. Step 4: Simplify right side
    324,009.40x = 83,669,319,014.64
  5. Step 5: Solve for x
    x = 83,669,319,014.64/324,009.40
  6. Step 6: Final answer
    x = 258,231.15

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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.