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Finding the Fourth Proportional to 673,764,940.70, 1,010,647,411.05 and 411,870,815.90

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Solution

The fourth proportional to 673,764,940.70, 1,010,647,411.05 and 411,870,815.90 is: 617,806,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,764,940.70 : 1,010,647,411.05 = 411,870,815.90 : x
  2. Step 2: Convert to fraction form
    673,764,940.70/1,010,647,411.05 = 411,870,815.90/x
  3. Step 3: Cross multiply
    673,764,940.70x = 1,010,647,411.05 × 411,870,815.90
  4. Step 4: Simplify right side
    673,764,940.70x = 416,256,173,776,386,112
  5. Step 5: Solve for x
    x = 416,256,173,776,386,112/673,764,940.70
  6. Step 6: Final answer
    x = 617,806,223.85

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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.