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Finding the Fourth Proportional to 205,480.40, 307,889.40 and 116,469.20

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Solution

The fourth proportional to 205,480.40, 307,889.40 and 116,469.20 is: 174,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,480.40 : 307,889.40 = 116,469.20 : x
  2. Step 2: Convert to fraction form
    205,480.40/307,889.40 = 116,469.20/x
  3. Step 3: Cross multiply
    205,480.40x = 307,889.40 × 116,469.20
  4. Step 4: Simplify right side
    205,480.40x = 35,859,632,106.48
  5. Step 5: Solve for x
    x = 35,859,632,106.48/205,480.40
  6. Step 6: Final answer
    x = 174,516.07

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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.