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Finding the Fourth Proportional to 330,109.80, 494,727.30 and 292,493.40

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Solution

The fourth proportional to 330,109.80, 494,727.30 and 292,493.40 is: 438,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,109.80 : 494,727.30 = 292,493.40 : x
  2. Step 2: Convert to fraction form
    330,109.80/494,727.30 = 292,493.40/x
  3. Step 3: Cross multiply
    330,109.80x = 494,727.30 × 292,493.40
  4. Step 4: Simplify right side
    330,109.80x = 144,704,470,049.82
  5. Step 5: Solve for x
    x = 144,704,470,049.82/330,109.80
  6. Step 6: Final answer
    x = 438,352.54

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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.