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Finding the Fourth Proportional to 265,738,399.20, 398,607,598.80 and 240,229,231.20

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Solution

The fourth proportional to 265,738,399.20, 398,607,598.80 and 240,229,231.20 is: 360,343,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,738,399.20 : 398,607,598.80 = 240,229,231.20 : x
  2. Step 2: Convert to fraction form
    265,738,399.20/398,607,598.80 = 240,229,231.20/x
  3. Step 3: Cross multiply
    265,738,399.20x = 398,607,598.80 × 240,229,231.20
  4. Step 4: Simplify right side
    265,738,399.20x = 95,757,197,010,202,048
  5. Step 5: Solve for x
    x = 95,757,197,010,202,048/265,738,399.20
  6. Step 6: Final answer
    x = 360,343,846.80

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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.