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Finding the Fourth Proportional to 265,751.81, 398,858.02 and 139,481.24

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Solution

The fourth proportional to 265,751.81, 398,858.02 and 139,481.24 is: 209,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,751.81 : 398,858.02 = 139,481.24 : x
  2. Step 2: Convert to fraction form
    265,751.81/398,858.02 = 139,481.24/x
  3. Step 3: Cross multiply
    265,751.81x = 398,858.02 × 139,481.24
  4. Step 4: Simplify right side
    265,751.81x = 55,633,210,516.14
  5. Step 5: Solve for x
    x = 55,633,210,516.14/265,751.81
  6. Step 6: Final answer
    x = 209,342.74

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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.