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Finding the Fourth Proportional to 520,138.85, 779,986.73 and 204,374.25

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Solution

The fourth proportional to 520,138.85, 779,986.73 and 204,374.25 is: 306,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,138.85 : 779,986.73 = 204,374.25 : x
  2. Step 2: Convert to fraction form
    520,138.85/779,986.73 = 204,374.25/x
  3. Step 3: Cross multiply
    520,138.85x = 779,986.73 × 204,374.25
  4. Step 4: Simplify right side
    520,138.85x = 159,409,203,464.64
  5. Step 5: Solve for x
    x = 159,409,203,464.64/520,138.85
  6. Step 6: Final answer
    x = 306,474.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.