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Finding the Fourth Proportional to 354,078.21, 531,274.31 and 185,558.47

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Solution

The fourth proportional to 354,078.21, 531,274.31 and 185,558.47 is: 278,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,078.21 : 531,274.31 = 185,558.47 : x
  2. Step 2: Convert to fraction form
    354,078.21/531,274.31 = 185,558.47/x
  3. Step 3: Cross multiply
    354,078.21x = 531,274.31 × 185,558.47
  4. Step 4: Simplify right side
    354,078.21x = 98,582,446,553.77
  5. Step 5: Solve for x
    x = 98,582,446,553.77/354,078.21
  6. Step 6: Final answer
    x = 278,419.97

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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.