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Finding the Fourth Proportional to 281,412.78, 422,124.57 and 103,828.38

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Solution

The fourth proportional to 281,412.78, 422,124.57 and 103,828.38 is: 155,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,412.78 : 422,124.57 = 103,828.38 : x
  2. Step 2: Convert to fraction form
    281,412.78/422,124.57 = 103,828.38/x
  3. Step 3: Cross multiply
    281,412.78x = 422,124.57 × 103,828.38
  4. Step 4: Simplify right side
    281,412.78x = 43,828,509,742.15
  5. Step 5: Solve for x
    x = 43,828,509,742.15/281,412.78
  6. Step 6: Final answer
    x = 155,744.56

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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.