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Finding the Fourth Proportional to 470,518.20, 705,380.49 and 204,078

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Solution

The fourth proportional to 470,518.20, 705,380.49 and 204,078 is: 305,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,518.20 : 705,380.49 = 204,078 : x
  2. Step 2: Convert to fraction form
    470,518.20/705,380.49 = 204,078/x
  3. Step 3: Cross multiply
    470,518.20x = 705,380.49 × 204,078
  4. Step 4: Simplify right side
    470,518.20x = 143,952,639,638.22
  5. Step 5: Solve for x
    x = 143,952,639,638.22/470,518.20
  6. Step 6: Final answer
    x = 305,944.89

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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.