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Finding the Fourth Proportional to 281,522.88, 388,491.12 and 154,199.52

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Solution

The fourth proportional to 281,522.88, 388,491.12 and 154,199.52 is: 212,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,522.88 : 388,491.12 = 154,199.52 : x
  2. Step 2: Convert to fraction form
    281,522.88/388,491.12 = 154,199.52/x
  3. Step 3: Cross multiply
    281,522.88x = 388,491.12 × 154,199.52
  4. Step 4: Simplify right side
    281,522.88x = 59,905,144,228.26
  5. Step 5: Solve for x
    x = 59,905,144,228.26/281,522.88
  6. Step 6: Final answer
    x = 212,789.61

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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.