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Finding the Fourth Proportional to 470,194.66, 649,206.66 and 289,149.94

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Solution

The fourth proportional to 470,194.66, 649,206.66 and 289,149.94 is: 399,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,194.66 : 649,206.66 = 289,149.94 : x
  2. Step 2: Convert to fraction form
    470,194.66/649,206.66 = 289,149.94/x
  3. Step 3: Cross multiply
    470,194.66x = 649,206.66 × 289,149.94
  4. Step 4: Simplify right side
    470,194.66x = 187,718,066,786.60
  5. Step 5: Solve for x
    x = 187,718,066,786.60/470,194.66
  6. Step 6: Final answer
    x = 399,234.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.