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Finding the Fourth Proportional to 678,831, 936,786.78 and 377,053.08

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Solution

The fourth proportional to 678,831, 936,786.78 and 377,053.08 is: 520,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,831 : 936,786.78 = 377,053.08 : x
  2. Step 2: Convert to fraction form
    678,831/936,786.78 = 377,053.08/x
  3. Step 3: Cross multiply
    678,831x = 936,786.78 × 377,053.08
  4. Step 4: Simplify right side
    678,831x = 353,218,340,702.28
  5. Step 5: Solve for x
    x = 353,218,340,702.28/678,831
  6. Step 6: Final answer
    x = 520,333.25

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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.