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Finding the Fourth Proportional to 281,328,556.80, 421,992,835.20 and 256,246,291.20

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Solution

The fourth proportional to 281,328,556.80, 421,992,835.20 and 256,246,291.20 is: 384,369,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,328,556.80 : 421,992,835.20 = 256,246,291.20 : x
  2. Step 2: Convert to fraction form
    281,328,556.80/421,992,835.20 = 256,246,291.20/x
  3. Step 3: Cross multiply
    281,328,556.80x = 421,992,835.20 × 256,246,291.20
  4. Step 4: Simplify right side
    281,328,556.80x = 108,134,098,932,972,800
  5. Step 5: Solve for x
    x = 108,134,098,932,972,800/281,328,556.80
  6. Step 6: Final answer
    x = 384,369,436.80

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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.