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Finding the Fourth Proportional to 331,407.65, 457,355.77 and 188,181.02

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Solution

The fourth proportional to 331,407.65, 457,355.77 and 188,181.02 is: 259,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,407.65 : 457,355.77 = 188,181.02 : x
  2. Step 2: Convert to fraction form
    331,407.65/457,355.77 = 188,181.02/x
  3. Step 3: Cross multiply
    331,407.65x = 457,355.77 × 188,181.02
  4. Step 4: Simplify right side
    331,407.65x = 86,065,675,974.42
  5. Step 5: Solve for x
    x = 86,065,675,974.42/331,407.65
  6. Step 6: Final answer
    x = 259,697.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.