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Finding the Fourth Proportional to 305,535.80, 421,690.12 and 178,211.40

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Solution

The fourth proportional to 305,535.80, 421,690.12 and 178,211.40 is: 245,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,535.80 : 421,690.12 = 178,211.40 : x
  2. Step 2: Convert to fraction form
    305,535.80/421,690.12 = 178,211.40/x
  3. Step 3: Cross multiply
    305,535.80x = 421,690.12 × 178,211.40
  4. Step 4: Simplify right side
    305,535.80x = 75,149,986,651.37
  5. Step 5: Solve for x
    x = 75,149,986,651.37/305,535.80
  6. Step 6: Final answer
    x = 245,961.31

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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.