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Finding the Fourth Proportional to 329,991.70, 494,539.82 and 140,214.10

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Solution

The fourth proportional to 329,991.70, 494,539.82 and 140,214.10 is: 210,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,991.70 : 494,539.82 = 140,214.10 : x
  2. Step 2: Convert to fraction form
    329,991.70/494,539.82 = 140,214.10/x
  3. Step 3: Cross multiply
    329,991.70x = 494,539.82 × 140,214.10
  4. Step 4: Simplify right side
    329,991.70x = 69,341,455,074.39
  5. Step 5: Solve for x
    x = 69,341,455,074.39/329,991.70
  6. Step 6: Final answer
    x = 210,130.91

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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.