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Finding the Fourth Proportional to 321,034.86, 481,584.14 and 118,684

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Solution

The fourth proportional to 321,034.86, 481,584.14 and 118,684 is: 178,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,034.86 : 481,584.14 = 118,684 : x
  2. Step 2: Convert to fraction form
    321,034.86/481,584.14 = 118,684/x
  3. Step 3: Cross multiply
    321,034.86x = 481,584.14 × 118,684
  4. Step 4: Simplify right side
    321,034.86x = 57,156,332,071.76
  5. Step 5: Solve for x
    x = 57,156,332,071.76/321,034.86
  6. Step 6: Final answer
    x = 178,037.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.