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Finding the Fourth Proportional to 321,635.52, 482,533.92 and 281,278.08

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Solution

The fourth proportional to 321,635.52, 482,533.92 and 281,278.08 is: 421,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,635.52 : 482,533.92 = 281,278.08 : x
  2. Step 2: Convert to fraction form
    321,635.52/482,533.92 = 281,278.08/x
  3. Step 3: Cross multiply
    321,635.52x = 482,533.92 × 281,278.08
  4. Step 4: Simplify right side
    321,635.52x = 135,726,214,552.47
  5. Step 5: Solve for x
    x = 135,726,214,552.47/321,635.52
  6. Step 6: Final answer
    x = 421,987.64

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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.