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Finding the Fourth Proportional to 378,473.67, 522,269.82 and 217,215.22

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Solution

The fourth proportional to 378,473.67, 522,269.82 and 217,215.22 is: 299,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,473.67 : 522,269.82 = 217,215.22 : x
  2. Step 2: Convert to fraction form
    378,473.67/522,269.82 = 217,215.22/x
  3. Step 3: Cross multiply
    378,473.67x = 522,269.82 × 217,215.22
  4. Step 4: Simplify right side
    378,473.67x = 113,444,953,850.66
  5. Step 5: Solve for x
    x = 113,444,953,850.66/378,473.67
  6. Step 6: Final answer
    x = 299,743.32

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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.