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Finding the Fourth Proportional to 377,057.43, 520,342.62 and 204,975.72

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Solution

The fourth proportional to 377,057.43, 520,342.62 and 204,975.72 is: 282,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,057.43 : 520,342.62 = 204,975.72 : x
  2. Step 2: Convert to fraction form
    377,057.43/520,342.62 = 204,975.72/x
  3. Step 3: Cross multiply
    377,057.43x = 520,342.62 × 204,975.72
  4. Step 4: Simplify right side
    377,057.43x = 106,657,603,181.19
  5. Step 5: Solve for x
    x = 106,657,603,181.19/377,057.43
  6. Step 6: Final answer
    x = 282,868.32

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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.