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Finding the Fourth Proportional to 281,276.94, 421,915.41 and 123,506.76

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Solution

The fourth proportional to 281,276.94, 421,915.41 and 123,506.76 is: 185,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,276.94 : 421,915.41 = 123,506.76 : x
  2. Step 2: Convert to fraction form
    281,276.94/421,915.41 = 123,506.76/x
  3. Step 3: Cross multiply
    281,276.94x = 421,915.41 × 123,506.76
  4. Step 4: Simplify right side
    281,276.94x = 52,109,405,283.17
  5. Step 5: Solve for x
    x = 52,109,405,283.17/281,276.94
  6. Step 6: Final answer
    x = 185,260.14

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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.