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Finding the Fourth Proportional to 281,320.94, 421,981.42 and 84,328.94

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Solution

The fourth proportional to 281,320.94, 421,981.42 and 84,328.94 is: 126,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,320.94 : 421,981.42 = 84,328.94 : x
  2. Step 2: Convert to fraction form
    281,320.94/421,981.42 = 84,328.94/x
  3. Step 3: Cross multiply
    281,320.94x = 421,981.42 × 84,328.94
  4. Step 4: Simplify right side
    281,320.94x = 35,585,245,848.29
  5. Step 5: Solve for x
    x = 35,585,245,848.29/281,320.94
  6. Step 6: Final answer
    x = 126,493.41

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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.