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Finding the Fourth Proportional to 378,306.34, 522,063.48 and 206,225.72

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Solution

The fourth proportional to 378,306.34, 522,063.48 and 206,225.72 is: 284,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,306.34 : 522,063.48 = 206,225.72 : x
  2. Step 2: Convert to fraction form
    378,306.34/522,063.48 = 206,225.72/x
  3. Step 3: Cross multiply
    378,306.34x = 522,063.48 × 206,225.72
  4. Step 4: Simplify right side
    378,306.34x = 107,662,917,048.71
  5. Step 5: Solve for x
    x = 107,662,917,048.71/378,306.34
  6. Step 6: Final answer
    x = 284,591.89

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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.