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Finding the Fourth Proportional to 442,908.06, 663,363.27 and 205,751.67

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Solution

The fourth proportional to 442,908.06, 663,363.27 and 205,751.67 is: 308,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,908.06 : 663,363.27 = 205,751.67 : x
  2. Step 2: Convert to fraction form
    442,908.06/663,363.27 = 205,751.67/x
  3. Step 3: Cross multiply
    442,908.06x = 663,363.27 × 205,751.67
  4. Step 4: Simplify right side
    442,908.06x = 136,488,100,619.16
  5. Step 5: Solve for x
    x = 136,488,100,619.16/442,908.06
  6. Step 6: Final answer
    x = 308,163.51

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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.