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Finding the Fourth Proportional to 321,442.39, 443,586.94 and 185,474.71

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Solution

The fourth proportional to 321,442.39, 443,586.94 and 185,474.71 is: 255,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,442.39 : 443,586.94 = 185,474.71 : x
  2. Step 2: Convert to fraction form
    321,442.39/443,586.94 = 185,474.71/x
  3. Step 3: Cross multiply
    321,442.39x = 443,586.94 × 185,474.71
  4. Step 4: Simplify right side
    321,442.39x = 82,274,159,056.29
  5. Step 5: Solve for x
    x = 82,274,159,056.29/321,442.39
  6. Step 6: Final answer
    x = 255,953.05

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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.