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Finding the Fourth Proportional to 265,984, 398,976 and 134,656

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Solution

The fourth proportional to 265,984, 398,976 and 134,656 is: 201,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,984 : 398,976 = 134,656 : x
  2. Step 2: Convert to fraction form
    265,984/398,976 = 134,656/x
  3. Step 3: Cross multiply
    265,984x = 398,976 × 134,656
  4. Step 4: Simplify right side
    265,984x = 53,724,512,256
  5. Step 5: Solve for x
    x = 53,724,512,256/265,984
  6. Step 6: Final answer
    x = 201,984

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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.