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Finding the Fourth Proportional to 281,538.72, 388,523.52 and 154,218.80

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Solution

The fourth proportional to 281,538.72, 388,523.52 and 154,218.80 is: 212,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,538.72 : 388,523.52 = 154,218.80 : x
  2. Step 2: Convert to fraction form
    281,538.72/388,523.52 = 154,218.80/x
  3. Step 3: Cross multiply
    281,538.72x = 388,523.52 × 154,218.80
  4. Step 4: Simplify right side
    281,538.72x = 59,917,631,026.18
  5. Step 5: Solve for x
    x = 59,917,631,026.18/281,538.72
  6. Step 6: Final answer
    x = 212,821.99

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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.