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Finding the Fourth Proportional to 331,110, 456,933.42 and 180,207

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Solution

The fourth proportional to 331,110, 456,933.42 and 180,207 is: 248,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,110 : 456,933.42 = 180,207 : x
  2. Step 2: Convert to fraction form
    331,110/456,933.42 = 180,207/x
  3. Step 3: Cross multiply
    331,110x = 456,933.42 × 180,207
  4. Step 4: Simplify right side
    331,110x = 82,342,600,817.94
  5. Step 5: Solve for x
    x = 82,342,600,817.94/331,110
  6. Step 6: Final answer
    x = 248,686.54

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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.