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Finding the Fourth Proportional to 411,870,682.20, 617,796,576.90 and 207,343,834.20

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Solution

The fourth proportional to 411,870,682.20, 617,796,576.90 and 207,343,834.20 is: 311,010,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,870,682.20 : 617,796,576.90 = 207,343,834.20 : x
  2. Step 2: Convert to fraction form
    411,870,682.20/617,796,576.90 = 207,343,834.20/x
  3. Step 3: Cross multiply
    411,870,682.20x = 617,796,576.90 × 207,343,834.20
  4. Step 4: Simplify right side
    411,870,682.20x = 128,096,311,010,081,136
  5. Step 5: Solve for x
    x = 128,096,311,010,081,136/411,870,682.20
  6. Step 6: Final answer
    x = 311,010,995.80

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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.