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Finding the Fourth Proportional to 378,472.67, 522,268.44 and 217,214.22

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Solution

The fourth proportional to 378,472.67, 522,268.44 and 217,214.22 is: 299,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,472.67 : 522,268.44 = 217,214.22 : x
  2. Step 2: Convert to fraction form
    378,472.67/522,268.44 = 217,214.22/x
  3. Step 3: Cross multiply
    378,472.67x = 522,268.44 × 217,214.22
  4. Step 4: Simplify right side
    378,472.67x = 113,444,131,825.22
  5. Step 5: Solve for x
    x = 113,444,131,825.22/378,472.67
  6. Step 6: Final answer
    x = 299,741.94

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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.