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Finding the Fourth Proportional to 265,559.34, 398,456.75 and 139,169.54

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Solution

The fourth proportional to 265,559.34, 398,456.75 and 139,169.54 is: 208,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,559.34 : 398,456.75 = 139,169.54 : x
  2. Step 2: Convert to fraction form
    265,559.34/398,456.75 = 139,169.54/x
  3. Step 3: Cross multiply
    265,559.34x = 398,456.75 × 139,169.54
  4. Step 4: Simplify right side
    265,559.34x = 55,453,039,919.26
  5. Step 5: Solve for x
    x = 55,453,039,919.26/265,559.34
  6. Step 6: Final answer
    x = 208,816.00

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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.