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Finding the Fourth Proportional to 340,939.85, 470,698.82 and 303,109.61

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Solution

The fourth proportional to 340,939.85, 470,698.82 and 303,109.61 is: 418,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,939.85 : 470,698.82 = 303,109.61 : x
  2. Step 2: Convert to fraction form
    340,939.85/470,698.82 = 303,109.61/x
  3. Step 3: Cross multiply
    340,939.85x = 470,698.82 × 303,109.61
  4. Step 4: Simplify right side
    340,939.85x = 142,673,334,161.94
  5. Step 5: Solve for x
    x = 142,673,334,161.94/340,939.85
  6. Step 6: Final answer
    x = 418,470.70

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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.