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Finding the Fourth Proportional to 262,441,806.40, 393,662,709.60 and 165,081,815.20

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Solution

The fourth proportional to 262,441,806.40, 393,662,709.60 and 165,081,815.20 is: 247,622,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,441,806.40 : 393,662,709.60 = 165,081,815.20 : x
  2. Step 2: Convert to fraction form
    262,441,806.40/393,662,709.60 = 165,081,815.20/x
  3. Step 3: Cross multiply
    262,441,806.40x = 393,662,709.60 × 165,081,815.20
  4. Step 4: Simplify right side
    262,441,806.40x = 64,986,554,677,318,464
  5. Step 5: Solve for x
    x = 64,986,554,677,318,464/262,441,806.40
  6. Step 6: Final answer
    x = 247,622,722.80

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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.