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Finding the Fourth Proportional to 378,308.34, 522,069.48 and 225,348.72

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Solution

The fourth proportional to 378,308.34, 522,069.48 and 225,348.72 is: 310,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,308.34 : 522,069.48 = 225,348.72 : x
  2. Step 2: Convert to fraction form
    378,308.34/522,069.48 = 225,348.72/x
  3. Step 3: Cross multiply
    378,308.34x = 522,069.48 × 225,348.72
  4. Step 4: Simplify right side
    378,308.34x = 117,647,689,069.07
  5. Step 5: Solve for x
    x = 117,647,689,069.07/378,308.34
  6. Step 6: Final answer
    x = 310,983.60

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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.