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Finding the Fourth Proportional to 281,275.46, 421,859.43 and 84,283.46

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Solution

The fourth proportional to 281,275.46, 421,859.43 and 84,283.46 is: 126,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,275.46 : 421,859.43 = 84,283.46 : x
  2. Step 2: Convert to fraction form
    281,275.46/421,859.43 = 84,283.46/x
  3. Step 3: Cross multiply
    281,275.46x = 421,859.43 × 84,283.46
  4. Step 4: Simplify right side
    281,275.46x = 35,555,772,394.03
  5. Step 5: Solve for x
    x = 35,555,772,394.03/281,275.46
  6. Step 6: Final answer
    x = 126,409.08

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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.