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Finding the Fourth Proportional to 329,509.14, 494,166.82 and 139,968

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Solution

The fourth proportional to 329,509.14, 494,166.82 and 139,968 is: 209,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,509.14 : 494,166.82 = 139,968 : x
  2. Step 2: Convert to fraction form
    329,509.14/494,166.82 = 139,968/x
  3. Step 3: Cross multiply
    329,509.14x = 494,166.82 × 139,968
  4. Step 4: Simplify right side
    329,509.14x = 69,167,541,461.76
  5. Step 5: Solve for x
    x = 69,167,541,461.76/329,509.14
  6. Step 6: Final answer
    x = 209,910.84

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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.