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Finding the Fourth Proportional to 313,903.20, 470,240.40 and 188,872.80

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Solution

The fourth proportional to 313,903.20, 470,240.40 and 188,872.80 is: 282,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,903.20 : 470,240.40 = 188,872.80 : x
  2. Step 2: Convert to fraction form
    313,903.20/470,240.40 = 188,872.80/x
  3. Step 3: Cross multiply
    313,903.20x = 470,240.40 × 188,872.80
  4. Step 4: Simplify right side
    313,903.20x = 88,815,621,021.12
  5. Step 5: Solve for x
    x = 88,815,621,021.12/313,903.20
  6. Step 6: Final answer
    x = 282,939.52

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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.