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Finding the Fourth Proportional to 533,564.50, 800,348.10 and 218,021.40

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Solution

The fourth proportional to 533,564.50, 800,348.10 and 218,021.40 is: 327,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,564.50 : 800,348.10 = 218,021.40 : x
  2. Step 2: Convert to fraction form
    533,564.50/800,348.10 = 218,021.40/x
  3. Step 3: Cross multiply
    533,564.50x = 800,348.10 × 218,021.40
  4. Step 4: Simplify right side
    533,564.50x = 174,493,013,249.34
  5. Step 5: Solve for x
    x = 174,493,013,249.34/533,564.50
  6. Step 6: Final answer
    x = 327,032.65

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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.