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Finding the Fourth Proportional to 433,644.08, 650,188.62 and 208,556.21

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Solution

The fourth proportional to 433,644.08, 650,188.62 and 208,556.21 is: 312,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,644.08 : 650,188.62 = 208,556.21 : x
  2. Step 2: Convert to fraction form
    433,644.08/650,188.62 = 208,556.21/x
  3. Step 3: Cross multiply
    433,644.08x = 650,188.62 × 208,556.21
  4. Step 4: Simplify right side
    433,644.08x = 135,600,875,997.80
  5. Step 5: Solve for x
    x = 135,600,875,997.80/433,644.08
  6. Step 6: Final answer
    x = 312,700.86

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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.