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Finding the Fourth Proportional to 265,738,371.20, 398,607,556.80 and 265,738,371.20

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Solution

The fourth proportional to 265,738,371.20, 398,607,556.80 and 265,738,371.20 is: 398,607,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,738,371.20 : 398,607,556.80 = 265,738,371.20 : x
  2. Step 2: Convert to fraction form
    265,738,371.20/398,607,556.80 = 265,738,371.20/x
  3. Step 3: Cross multiply
    265,738,371.20x = 398,607,556.80 × 265,738,371.20
  4. Step 4: Simplify right side
    265,738,371.20x = 105,925,322,892,043,488
  5. Step 5: Solve for x
    x = 105,925,322,892,043,488/265,738,371.20
  6. Step 6: Final answer
    x = 398,607,556.80

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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.