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Finding the Fourth Proportional to 321,392, 443,474.40 and 178,152

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Solution

The fourth proportional to 321,392, 443,474.40 and 178,152 is: 245,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,392 : 443,474.40 = 178,152 : x
  2. Step 2: Convert to fraction form
    321,392/443,474.40 = 178,152/x
  3. Step 3: Cross multiply
    321,392x = 443,474.40 × 178,152
  4. Step 4: Simplify right side
    321,392x = 79,005,851,308.80
  5. Step 5: Solve for x
    x = 79,005,851,308.80/321,392
  6. Step 6: Final answer
    x = 245,823.95

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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.