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Finding the Fourth Proportional to 462,198.78, 637,775.68 and 271,142.46

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Solution

The fourth proportional to 462,198.78, 637,775.68 and 271,142.46 is: 374,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,198.78 : 637,775.68 = 271,142.46 : x
  2. Step 2: Convert to fraction form
    462,198.78/637,775.68 = 271,142.46/x
  3. Step 3: Cross multiply
    462,198.78x = 637,775.68 × 271,142.46
  4. Step 4: Simplify right side
    462,198.78x = 172,928,066,803.37
  5. Step 5: Solve for x
    x = 172,928,066,803.37/462,198.78
  6. Step 6: Final answer
    x = 374,142.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.