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Finding the Fourth Proportional to 265,578.60, 398,438.82 and 115,830.96

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Solution

The fourth proportional to 265,578.60, 398,438.82 and 115,830.96 is: 173,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,578.60 : 398,438.82 = 115,830.96 : x
  2. Step 2: Convert to fraction form
    265,578.60/398,438.82 = 115,830.96/x
  3. Step 3: Cross multiply
    265,578.60x = 398,438.82 × 115,830.96
  4. Step 4: Simplify right side
    265,578.60x = 46,151,551,021.87
  5. Step 5: Solve for x
    x = 46,151,551,021.87/265,578.60
  6. Step 6: Final answer
    x = 173,777.37

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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.