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Finding the Fourth Proportional to 331,739.52, 457,784 and 188,480.64

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Solution

The fourth proportional to 331,739.52, 457,784 and 188,480.64 is: 260,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,739.52 : 457,784 = 188,480.64 : x
  2. Step 2: Convert to fraction form
    331,739.52/457,784 = 188,480.64/x
  3. Step 3: Cross multiply
    331,739.52x = 457,784 × 188,480.64
  4. Step 4: Simplify right side
    331,739.52x = 86,283,421,301.76
  5. Step 5: Solve for x
    x = 86,283,421,301.76/331,739.52
  6. Step 6: Final answer
    x = 260,093.89

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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.