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Finding the Fourth Proportional to 411,870,658.70, 617,796,541.65 and 207,343,810.70

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Solution

The fourth proportional to 411,870,658.70, 617,796,541.65 and 207,343,810.70 is: 311,010,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,870,658.70 : 617,796,541.65 = 207,343,810.70 : x
  2. Step 2: Convert to fraction form
    411,870,658.70/617,796,541.65 = 207,343,810.70/x
  3. Step 3: Cross multiply
    411,870,658.70x = 617,796,541.65 × 207,343,810.70
  4. Step 4: Simplify right side
    411,870,658.70x = 128,096,289,182,992,256
  5. Step 5: Solve for x
    x = 128,096,289,182,992,256/411,870,658.70
  6. Step 6: Final answer
    x = 311,010,960.55

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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.