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Finding the Fourth Proportional to 265,943.25, 398,980.49 and 78,954.75

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Solution

The fourth proportional to 265,943.25, 398,980.49 and 78,954.75 is: 118,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,943.25 : 398,980.49 = 78,954.75 : x
  2. Step 2: Convert to fraction form
    265,943.25/398,980.49 = 78,954.75/x
  3. Step 3: Cross multiply
    265,943.25x = 398,980.49 × 78,954.75
  4. Step 4: Simplify right side
    265,943.25x = 31,501,404,448.05
  5. Step 5: Solve for x
    x = 31,501,404,448.05/265,943.25
  6. Step 6: Final answer
    x = 118,451.60

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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.