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Finding the Fourth Proportional to 281,208.40, 421,812.60 and 94,219.90

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Solution

The fourth proportional to 281,208.40, 421,812.60 and 94,219.90 is: 141,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,208.40 : 421,812.60 = 94,219.90 : x
  2. Step 2: Convert to fraction form
    281,208.40/421,812.60 = 94,219.90/x
  3. Step 3: Cross multiply
    281,208.40x = 421,812.60 × 94,219.90
  4. Step 4: Simplify right side
    281,208.40x = 39,743,140,990.74
  5. Step 5: Solve for x
    x = 39,743,140,990.74/281,208.40
  6. Step 6: Final answer
    x = 141,329.85

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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.