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Finding the Fourth Proportional to 378,501.67, 522,314.70 and 217,243.21

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Solution

The fourth proportional to 378,501.67, 522,314.70 and 217,243.21 is: 299,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,501.67 : 522,314.70 = 217,243.21 : x
  2. Step 2: Convert to fraction form
    378,501.67/522,314.70 = 217,243.21/x
  3. Step 3: Cross multiply
    378,501.67x = 522,314.70 × 217,243.21
  4. Step 4: Simplify right side
    378,501.67x = 113,469,322,058.19
  5. Step 5: Solve for x
    x = 113,469,322,058.19/378,501.67
  6. Step 6: Final answer
    x = 299,785.53

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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.