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Finding the Fourth Proportional to 378,912.96, 522,904.20 and 209,147.16

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Solution

The fourth proportional to 378,912.96, 522,904.20 and 209,147.16 is: 288,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,912.96 : 522,904.20 = 209,147.16 : x
  2. Step 2: Convert to fraction form
    378,912.96/522,904.20 = 209,147.16/x
  3. Step 3: Cross multiply
    378,912.96x = 522,904.20 × 209,147.16
  4. Step 4: Simplify right side
    378,912.96x = 109,363,928,382.07
  5. Step 5: Solve for x
    x = 109,363,928,382.07/378,912.96
  6. Step 6: Final answer
    x = 288,625.46

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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.