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Finding the Fourth Proportional to 321,235.36, 443,292.84 and 185,275

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Solution

The fourth proportional to 321,235.36, 443,292.84 and 185,275 is: 255,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,235.36 : 443,292.84 = 185,275 : x
  2. Step 2: Convert to fraction form
    321,235.36/443,292.84 = 185,275/x
  3. Step 3: Cross multiply
    321,235.36x = 443,292.84 × 185,275
  4. Step 4: Simplify right side
    321,235.36x = 82,131,080,931
  5. Step 5: Solve for x
    x = 82,131,080,931/321,235.36
  6. Step 6: Final answer
    x = 255,672.60

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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.