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Finding the Fourth Proportional to 265,659.75, 398,720.34 and 139,389.66

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Solution

The fourth proportional to 265,659.75, 398,720.34 and 139,389.66 is: 209,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,659.75 : 398,720.34 = 139,389.66 : x
  2. Step 2: Convert to fraction form
    265,659.75/398,720.34 = 139,389.66/x
  3. Step 3: Cross multiply
    265,659.75x = 398,720.34 × 139,389.66
  4. Step 4: Simplify right side
    265,659.75x = 55,577,492,627.68
  5. Step 5: Solve for x
    x = 55,577,492,627.68/265,659.75
  6. Step 6: Final answer
    x = 209,205.54

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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.