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Finding the Fourth Proportional to 281,411.92, 388,344.48 and 154,087.52

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Solution

The fourth proportional to 281,411.92, 388,344.48 and 154,087.52 is: 212,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,411.92 : 388,344.48 = 154,087.52 : x
  2. Step 2: Convert to fraction form
    281,411.92/388,344.48 = 154,087.52/x
  3. Step 3: Cross multiply
    281,411.92x = 388,344.48 × 154,087.52
  4. Step 4: Simplify right side
    281,411.92x = 59,839,035,309.34
  5. Step 5: Solve for x
    x = 59,839,035,309.34/281,411.92
  6. Step 6: Final answer
    x = 212,638.59

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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.