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Finding the Fourth Proportional to 320,467.60, 480,067.80 and 281,069.20

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Solution

The fourth proportional to 320,467.60, 480,067.80 and 281,069.20 is: 421,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,467.60 : 480,067.80 = 281,069.20 : x
  2. Step 2: Convert to fraction form
    320,467.60/480,067.80 = 281,069.20/x
  3. Step 3: Cross multiply
    320,467.60x = 480,067.80 × 281,069.20
  4. Step 4: Simplify right side
    320,467.60x = 134,932,272,491.76
  5. Step 5: Solve for x
    x = 134,932,272,491.76/320,467.60
  6. Step 6: Final answer
    x = 421,048.10

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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.