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Finding the Fourth Proportional to 265,905.30, 398,771.22 and 88,364.64

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Solution

The fourth proportional to 265,905.30, 398,771.22 and 88,364.64 is: 132,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,905.30 : 398,771.22 = 88,364.64 : x
  2. Step 2: Convert to fraction form
    265,905.30/398,771.22 = 88,364.64/x
  3. Step 3: Cross multiply
    265,905.30x = 398,771.22 × 88,364.64
  4. Step 4: Simplify right side
    265,905.30x = 35,237,275,297.66
  5. Step 5: Solve for x
    x = 35,237,275,297.66/265,905.30
  6. Step 6: Final answer
    x = 132,518.14

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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.