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Finding the Fourth Proportional to 331,722.42, 457,788.69 and 188,488.50

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Solution

The fourth proportional to 331,722.42, 457,788.69 and 188,488.50 is: 260,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,722.42 : 457,788.69 = 188,488.50 : x
  2. Step 2: Convert to fraction form
    331,722.42/457,788.69 = 188,488.50/x
  3. Step 3: Cross multiply
    331,722.42x = 457,788.69 × 188,488.50
  4. Step 4: Simplify right side
    331,722.42x = 86,287,903,495.07
  5. Step 5: Solve for x
    x = 86,287,903,495.07/331,722.42
  6. Step 6: Final answer
    x = 260,120.81

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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.