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Finding the Fourth Proportional to 234,741.88, 323,520.78 and 170,978.68

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Solution

The fourth proportional to 234,741.88, 323,520.78 and 170,978.68 is: 235,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,741.88 : 323,520.78 = 170,978.68 : x
  2. Step 2: Convert to fraction form
    234,741.88/323,520.78 = 170,978.68/x
  3. Step 3: Cross multiply
    234,741.88x = 323,520.78 × 170,978.68
  4. Step 4: Simplify right side
    234,741.88x = 55,315,155,916.97
  5. Step 5: Solve for x
    x = 55,315,155,916.97/234,741.88
  6. Step 6: Final answer
    x = 235,642.47

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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.