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Finding the Fourth Proportional to 281,841.54, 388,940.41 and 152,780.51

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Solution

The fourth proportional to 281,841.54, 388,940.41 and 152,780.51 is: 210,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,841.54 : 388,940.41 = 152,780.51 : x
  2. Step 2: Convert to fraction form
    281,841.54/388,940.41 = 152,780.51/x
  3. Step 3: Cross multiply
    281,841.54x = 388,940.41 × 152,780.51
  4. Step 4: Simplify right side
    281,841.54x = 59,422,514,199.41
  5. Step 5: Solve for x
    x = 59,422,514,199.41/281,841.54
  6. Step 6: Final answer
    x = 210,836.61

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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.