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Finding the Fourth Proportional to 298,719,855.20, 448,079,782.80 and 262,888,047.20

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Solution

The fourth proportional to 298,719,855.20, 448,079,782.80 and 262,888,047.20 is: 394,332,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,719,855.20 : 448,079,782.80 = 262,888,047.20 : x
  2. Step 2: Convert to fraction form
    298,719,855.20/448,079,782.80 = 262,888,047.20/x
  3. Step 3: Cross multiply
    298,719,855.20x = 448,079,782.80 × 262,888,047.20
  4. Step 4: Simplify right side
    298,719,855.20x = 117,794,819,090,092,144
  5. Step 5: Solve for x
    x = 117,794,819,090,092,144/298,719,855.20
  6. Step 6: Final answer
    x = 394,332,070.80

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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.