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Finding the Fourth Proportional to 281,506.62, 388,479.33 and 152,446.10

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Solution

The fourth proportional to 281,506.62, 388,479.33 and 152,446.10 is: 210,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,506.62 : 388,479.33 = 152,446.10 : x
  2. Step 2: Convert to fraction form
    281,506.62/388,479.33 = 152,446.10/x
  3. Step 3: Cross multiply
    281,506.62x = 388,479.33 × 152,446.10
  4. Step 4: Simplify right side
    281,506.62x = 59,222,158,817.54
  5. Step 5: Solve for x
    x = 59,222,158,817.54/281,506.62
  6. Step 6: Final answer
    x = 210,375.73

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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.