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Finding the Fourth Proportional to 378,487.77, 568,713.07 and 284,602.59

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Solution

The fourth proportional to 378,487.77, 568,713.07 and 284,602.59 is: 427,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,487.77 : 568,713.07 = 284,602.59 : x
  2. Step 2: Convert to fraction form
    378,487.77/568,713.07 = 284,602.59/x
  3. Step 3: Cross multiply
    378,487.77x = 568,713.07 × 284,602.59
  4. Step 4: Simplify right side
    378,487.77x = 161,857,212,688.85
  5. Step 5: Solve for x
    x = 161,857,212,688.85/378,487.77
  6. Step 6: Final answer
    x = 427,641.86

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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.