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Finding the Fourth Proportional to 281,405.14, 421,734.50 and 148,379.55

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Solution

The fourth proportional to 281,405.14, 421,734.50 and 148,379.55 is: 222,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,405.14 : 421,734.50 = 148,379.55 : x
  2. Step 2: Convert to fraction form
    281,405.14/421,734.50 = 148,379.55/x
  3. Step 3: Cross multiply
    281,405.14x = 421,734.50 × 148,379.55
  4. Step 4: Simplify right side
    281,405.14x = 62,576,773,562.50
  5. Step 5: Solve for x
    x = 62,576,773,562.50/281,405.14
  6. Step 6: Final answer
    x = 222,372.53

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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.