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Finding the Fourth Proportional to 265,721,902.80, 398,645,839.80 and 136,349,480.40

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Solution

The fourth proportional to 265,721,902.80, 398,645,839.80 and 136,349,480.40 is: 204,556,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,721,902.80 : 398,645,839.80 = 136,349,480.40 : x
  2. Step 2: Convert to fraction form
    265,721,902.80/398,645,839.80 = 136,349,480.40/x
  3. Step 3: Cross multiply
    265,721,902.80x = 398,645,839.80 × 136,349,480.40
  4. Step 4: Simplify right side
    265,721,902.80x = 54,355,153,120,351,640
  5. Step 5: Solve for x
    x = 54,355,153,120,351,640/265,721,902.80
  6. Step 6: Final answer
    x = 204,556,540.31

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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.