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Finding the Fourth Proportional to 247,204.96, 370,806.72 and 213,825.76

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Solution

The fourth proportional to 247,204.96, 370,806.72 and 213,825.76 is: 320,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,204.96 : 370,806.72 = 213,825.76 : x
  2. Step 2: Convert to fraction form
    247,204.96/370,806.72 = 213,825.76/x
  3. Step 3: Cross multiply
    247,204.96x = 370,806.72 × 213,825.76
  4. Step 4: Simplify right side
    247,204.96x = 79,288,028,717.11
  5. Step 5: Solve for x
    x = 79,288,028,717.11/247,204.96
  6. Step 6: Final answer
    x = 320,738.02

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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.