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Finding the Fourth Proportional to 378,793.04, 522,716.64 and 217,534.40

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Solution

The fourth proportional to 378,793.04, 522,716.64 and 217,534.40 is: 300,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,793.04 : 522,716.64 = 217,534.40 : x
  2. Step 2: Convert to fraction form
    378,793.04/522,716.64 = 217,534.40/x
  3. Step 3: Cross multiply
    378,793.04x = 522,716.64 × 217,534.40
  4. Step 4: Simplify right side
    378,793.04x = 113,708,850,652.42
  5. Step 5: Solve for x
    x = 113,708,850,652.42/378,793.04
  6. Step 6: Final answer
    x = 300,187.28

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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.