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Finding the Fourth Proportional to 378,071.72, 521,814.42 and 217,035.56

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Solution

The fourth proportional to 378,071.72, 521,814.42 and 217,035.56 is: 299,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,071.72 : 521,814.42 = 217,035.56 : x
  2. Step 2: Convert to fraction form
    378,071.72/521,814.42 = 217,035.56/x
  3. Step 3: Cross multiply
    378,071.72x = 521,814.42 × 217,035.56
  4. Step 4: Simplify right side
    378,071.72x = 113,252,284,860.78
  5. Step 5: Solve for x
    x = 113,252,284,860.78/378,071.72
  6. Step 6: Final answer
    x = 299,552.38

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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.