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Finding the Fourth Proportional to 357,953.78, 494,051.40 and 227,046.75

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Solution

The fourth proportional to 357,953.78, 494,051.40 and 227,046.75 is: 313,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,953.78 : 494,051.40 = 227,046.75 : x
  2. Step 2: Convert to fraction form
    357,953.78/494,051.40 = 227,046.75/x
  3. Step 3: Cross multiply
    357,953.78x = 494,051.40 × 227,046.75
  4. Step 4: Simplify right side
    357,953.78x = 112,172,762,850.26
  5. Step 5: Solve for x
    x = 112,172,762,850.26/357,953.78
  6. Step 6: Final answer
    x = 313,372.20

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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.