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Finding the Fourth Proportional to 366,540.89, 549,638.80 and 142,006.46

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Solution

The fourth proportional to 366,540.89, 549,638.80 and 142,006.46 is: 212,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,540.89 : 549,638.80 = 142,006.46 : x
  2. Step 2: Convert to fraction form
    366,540.89/549,638.80 = 142,006.46/x
  3. Step 3: Cross multiply
    366,540.89x = 549,638.80 × 142,006.46
  4. Step 4: Simplify right side
    366,540.89x = 78,052,257,163.44
  5. Step 5: Solve for x
    x = 78,052,257,163.44/366,540.89
  6. Step 6: Final answer
    x = 212,942.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.