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Finding the Fourth Proportional to 678,812, 936,780 and 377,025.44

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Solution

The fourth proportional to 678,812, 936,780 and 377,025.44 is: 520,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,812 : 936,780 = 377,025.44 : x
  2. Step 2: Convert to fraction form
    678,812/936,780 = 377,025.44/x
  3. Step 3: Cross multiply
    678,812x = 936,780 × 377,025.44
  4. Step 4: Simplify right side
    678,812x = 353,189,891,683.20
  5. Step 5: Solve for x
    x = 353,189,891,683.20/678,812
  6. Step 6: Final answer
    x = 520,305.90

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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.