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Finding the Fourth Proportional to 309,271.20, 463,906.80 and 204,208.80

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Solution

The fourth proportional to 309,271.20, 463,906.80 and 204,208.80 is: 306,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,271.20 : 463,906.80 = 204,208.80 : x
  2. Step 2: Convert to fraction form
    309,271.20/463,906.80 = 204,208.80/x
  3. Step 3: Cross multiply
    309,271.20x = 463,906.80 × 204,208.80
  4. Step 4: Simplify right side
    309,271.20x = 94,733,850,939.84
  5. Step 5: Solve for x
    x = 94,733,850,939.84/309,271.20
  6. Step 6: Final answer
    x = 306,313.20

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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.