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Finding the Fourth Proportional to 524,910.42, 786,751.02 and 200,485.80

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Solution

The fourth proportional to 524,910.42, 786,751.02 and 200,485.80 is: 300,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,910.42 : 786,751.02 = 200,485.80 : x
  2. Step 2: Convert to fraction form
    524,910.42/786,751.02 = 200,485.80/x
  3. Step 3: Cross multiply
    524,910.42x = 786,751.02 × 200,485.80
  4. Step 4: Simplify right side
    524,910.42x = 157,732,407,645.52
  5. Step 5: Solve for x
    x = 157,732,407,645.52/524,910.42
  6. Step 6: Final answer
    x = 300,493.95

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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.