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Finding the Fourth Proportional to 402,286.34, 555,059.45 and 227,858.04

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Solution

The fourth proportional to 402,286.34, 555,059.45 and 227,858.04 is: 314,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,286.34 : 555,059.45 = 227,858.04 : x
  2. Step 2: Convert to fraction form
    402,286.34/555,059.45 = 227,858.04/x
  3. Step 3: Cross multiply
    402,286.34x = 555,059.45 × 227,858.04
  4. Step 4: Simplify right side
    402,286.34x = 126,474,758,930.12
  5. Step 5: Solve for x
    x = 126,474,758,930.12/402,286.34
  6. Step 6: Final answer
    x = 314,389.89

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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.