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Finding the Fourth Proportional to 378,897.38, 522,865.36 and 225,856.65

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Solution

The fourth proportional to 378,897.38, 522,865.36 and 225,856.65 is: 311,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,897.38 : 522,865.36 = 225,856.65 : x
  2. Step 2: Convert to fraction form
    378,897.38/522,865.36 = 225,856.65/x
  3. Step 3: Cross multiply
    378,897.38x = 522,865.36 × 225,856.65
  4. Step 4: Simplify right side
    378,897.38x = 118,092,620,853.71
  5. Step 5: Solve for x
    x = 118,092,620,853.71/378,897.38
  6. Step 6: Final answer
    x = 311,674.42

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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.