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Finding the Fourth Proportional to 321,097.92, 481,488 and 188,011.68

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Solution

The fourth proportional to 321,097.92, 481,488 and 188,011.68 is: 281,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,097.92 : 481,488 = 188,011.68 : x
  2. Step 2: Convert to fraction form
    321,097.92/481,488 = 188,011.68/x
  3. Step 3: Cross multiply
    321,097.92x = 481,488 × 188,011.68
  4. Step 4: Simplify right side
    321,097.92x = 90,525,367,779.84
  5. Step 5: Solve for x
    x = 90,525,367,779.84/321,097.92
  6. Step 6: Final answer
    x = 281,924.49

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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.