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Finding the Fourth Proportional to 265,907.25, 398,637.18 and 123,680.25

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Solution

The fourth proportional to 265,907.25, 398,637.18 and 123,680.25 is: 185,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,907.25 : 398,637.18 = 123,680.25 : x
  2. Step 2: Convert to fraction form
    265,907.25/398,637.18 = 123,680.25/x
  3. Step 3: Cross multiply
    265,907.25x = 398,637.18 × 123,680.25
  4. Step 4: Simplify right side
    265,907.25x = 49,303,546,081.70
  5. Step 5: Solve for x
    x = 49,303,546,081.70/265,907.25
  6. Step 6: Final answer
    x = 185,416.33

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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.