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Finding the Fourth Proportional to 262,648,823.36, 393,993,037.92 and 78,401,744.96

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Solution

The fourth proportional to 262,648,823.36, 393,993,037.92 and 78,401,744.96 is: 117,608,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,648,823.36 : 393,993,037.92 = 78,401,744.96 : x
  2. Step 2: Convert to fraction form
    262,648,823.36/393,993,037.92 = 78,401,744.96/x
  3. Step 3: Cross multiply
    262,648,823.36x = 393,993,037.92 × 78,401,744.96
  4. Step 4: Simplify right side
    262,648,823.36x = 30,889,741,675,019,448
  5. Step 5: Solve for x
    x = 30,889,741,675,019,448/262,648,823.36
  6. Step 6: Final answer
    x = 117,608,528.68

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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.