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Finding the Fourth Proportional to 378,131.77, 521,798.38 and 217,000.09

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Solution

The fourth proportional to 378,131.77, 521,798.38 and 217,000.09 is: 299,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,131.77 : 521,798.38 = 217,000.09 : x
  2. Step 2: Convert to fraction form
    378,131.77/521,798.38 = 217,000.09/x
  3. Step 3: Cross multiply
    378,131.77x = 521,798.38 × 217,000.09
  4. Step 4: Simplify right side
    378,131.77x = 113,230,295,421.85
  5. Step 5: Solve for x
    x = 113,230,295,421.85/378,131.77
  6. Step 6: Final answer
    x = 299,446.66

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1.5x scale

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.