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Finding the Fourth Proportional to 354,087.78, 531,288.58 and 185,568

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Solution

The fourth proportional to 354,087.78, 531,288.58 and 185,568 is: 278,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,087.78 : 531,288.58 = 185,568 : x
  2. Step 2: Convert to fraction form
    354,087.78/531,288.58 = 185,568/x
  3. Step 3: Cross multiply
    354,087.78x = 531,288.58 × 185,568
  4. Step 4: Simplify right side
    354,087.78x = 98,590,159,213.44
  5. Step 5: Solve for x
    x = 98,590,159,213.44/354,087.78
  6. Step 6: Final answer
    x = 278,434.23

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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.