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Finding the Fourth Proportional to 654,153.61, 981,611.12 and 275,046.88

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Solution

The fourth proportional to 654,153.61, 981,611.12 and 275,046.88 is: 412,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,153.61 : 981,611.12 = 275,046.88 : x
  2. Step 2: Convert to fraction form
    654,153.61/981,611.12 = 275,046.88/x
  3. Step 3: Cross multiply
    654,153.61x = 981,611.12 × 275,046.88
  4. Step 4: Simplify right side
    654,153.61x = 269,989,072,100.04
  5. Step 5: Solve for x
    x = 269,989,072,100.04/654,153.61
  6. Step 6: Final answer
    x = 412,730.39

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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.