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Finding the Fourth Proportional to 442,906.06, 663,360.27 and 205,749.67

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Solution

The fourth proportional to 442,906.06, 663,360.27 and 205,749.67 is: 308,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,906.06 : 663,360.27 = 205,749.67 : x
  2. Step 2: Convert to fraction form
    442,906.06/663,360.27 = 205,749.67/x
  3. Step 3: Cross multiply
    442,906.06x = 663,360.27 × 205,749.67
  4. Step 4: Simplify right side
    442,906.06x = 136,486,156,643.61
  5. Step 5: Solve for x
    x = 136,486,156,643.61/442,906.06
  6. Step 6: Final answer
    x = 308,160.51

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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.