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Finding the Fourth Proportional to 377,176.82, 520,376.61 and 213,815.80

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Solution

The fourth proportional to 377,176.82, 520,376.61 and 213,815.80 is: 294,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,176.82 : 520,376.61 = 213,815.80 : x
  2. Step 2: Convert to fraction form
    377,176.82/520,376.61 = 213,815.80/x
  3. Step 3: Cross multiply
    377,176.82x = 520,376.61 × 213,815.80
  4. Step 4: Simplify right side
    377,176.82x = 111,264,742,620.72
  5. Step 5: Solve for x
    x = 111,264,742,620.72/377,176.82
  6. Step 6: Final answer
    x = 294,993.59

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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.