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Finding the Fourth Proportional to 322,780.42, 484,197.73 and 98,142.80

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Solution

The fourth proportional to 322,780.42, 484,197.73 and 98,142.80 is: 147,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,780.42 : 484,197.73 = 98,142.80 : x
  2. Step 2: Convert to fraction form
    322,780.42/484,197.73 = 98,142.80/x
  3. Step 3: Cross multiply
    322,780.42x = 484,197.73 × 98,142.80
  4. Step 4: Simplify right side
    322,780.42x = 47,520,521,940.98
  5. Step 5: Solve for x
    x = 47,520,521,940.98/322,780.42
  6. Step 6: Final answer
    x = 147,222.44

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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.