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Finding the Fourth Proportional to 331,802.60, 457,867.86 and 188,542.76

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Solution

The fourth proportional to 331,802.60, 457,867.86 and 188,542.76 is: 260,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,802.60 : 457,867.86 = 188,542.76 : x
  2. Step 2: Convert to fraction form
    331,802.60/457,867.86 = 188,542.76/x
  3. Step 3: Cross multiply
    331,802.60x = 457,867.86 × 188,542.76
  4. Step 4: Simplify right side
    331,802.60x = 86,327,670,039.69
  5. Step 5: Solve for x
    x = 86,327,670,039.69/331,802.60
  6. Step 6: Final answer
    x = 260,177.80

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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.