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Finding the Fourth Proportional to 321,424.40, 443,558.04 and 185,458.64

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Solution

The fourth proportional to 321,424.40, 443,558.04 and 185,458.64 is: 255,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,424.40 : 443,558.04 = 185,458.64 : x
  2. Step 2: Convert to fraction form
    321,424.40/443,558.04 = 185,458.64/x
  3. Step 3: Cross multiply
    321,424.40x = 443,558.04 × 185,458.64
  4. Step 4: Simplify right side
    321,424.40x = 82,261,670,859.47
  5. Step 5: Solve for x
    x = 82,261,670,859.47/321,424.40
  6. Step 6: Final answer
    x = 255,928.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.