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Finding the Fourth Proportional to 378,399.96, 522,196.01 and 206,316.51

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Solution

The fourth proportional to 378,399.96, 522,196.01 and 206,316.51 is: 284,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,399.96 : 522,196.01 = 206,316.51 : x
  2. Step 2: Convert to fraction form
    378,399.96/522,196.01 = 206,316.51/x
  3. Step 3: Cross multiply
    378,399.96x = 522,196.01 × 206,316.51
  4. Step 4: Simplify right side
    378,399.96x = 107,737,658,319.13
  5. Step 5: Solve for x
    x = 107,737,658,319.13/378,399.96
  6. Step 6: Final answer
    x = 284,719.00

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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.