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Finding the Fourth Proportional to 378,584.16, 567,876.48 and 212,488.80

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Solution

The fourth proportional to 378,584.16, 567,876.48 and 212,488.80 is: 318,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,584.16 : 567,876.48 = 212,488.80 : x
  2. Step 2: Convert to fraction form
    378,584.16/567,876.48 = 212,488.80/x
  3. Step 3: Cross multiply
    378,584.16x = 567,876.48 × 212,488.80
  4. Step 4: Simplify right side
    378,584.16x = 120,667,391,783.42
  5. Step 5: Solve for x
    x = 120,667,391,783.42/378,584.16
  6. Step 6: Final answer
    x = 318,733.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.