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Finding the Fourth Proportional to 377,405.96, 520,824.35 and 205,324.90

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Solution

The fourth proportional to 377,405.96, 520,824.35 and 205,324.90 is: 283,350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,405.96 : 520,824.35 = 205,324.90 : x
  2. Step 2: Convert to fraction form
    377,405.96/520,824.35 = 205,324.90/x
  3. Step 3: Cross multiply
    377,405.96x = 520,824.35 × 205,324.90
  4. Step 4: Simplify right side
    377,405.96x = 106,938,203,950.57
  5. Step 5: Solve for x
    x = 106,938,203,950.57/377,405.96
  6. Step 6: Final answer
    x = 283,350.60

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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.