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Finding the Fourth Proportional to 321,609.45, 443,848.30 and 178,415.63

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Solution

The fourth proportional to 321,609.45, 443,848.30 and 178,415.63 is: 246,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,609.45 : 443,848.30 = 178,415.63 : x
  2. Step 2: Convert to fraction form
    321,609.45/443,848.30 = 178,415.63/x
  3. Step 3: Cross multiply
    321,609.45x = 443,848.30 × 178,415.63
  4. Step 4: Simplify right side
    321,609.45x = 79,189,474,068.93
  5. Step 5: Solve for x
    x = 79,189,474,068.93/321,609.45
  6. Step 6: Final answer
    x = 246,228.69

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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.