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Finding the Fourth Proportional to 321,261.58, 443,343.59 and 178,024.02

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Solution

The fourth proportional to 321,261.58, 443,343.59 and 178,024.02 is: 245,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,261.58 : 443,343.59 = 178,024.02 : x
  2. Step 2: Convert to fraction form
    321,261.58/443,343.59 = 178,024.02/x
  3. Step 3: Cross multiply
    321,261.58x = 443,343.59 × 178,024.02
  4. Step 4: Simplify right side
    321,261.58x = 78,925,808,133.03
  5. Step 5: Solve for x
    x = 78,925,808,133.03/321,261.58
  6. Step 6: Final answer
    x = 245,674.59

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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.