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Finding the Fourth Proportional to 352,558.37, 486,538.75 and 209,318.78

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Solution

The fourth proportional to 352,558.37, 486,538.75 and 209,318.78 is: 288,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,558.37 : 486,538.75 = 209,318.78 : x
  2. Step 2: Convert to fraction form
    352,558.37/486,538.75 = 209,318.78/x
  3. Step 3: Cross multiply
    352,558.37x = 486,538.75 × 209,318.78
  4. Step 4: Simplify right side
    352,558.37x = 101,841,699,050.72
  5. Step 5: Solve for x
    x = 101,841,699,050.72/352,558.37
  6. Step 6: Final answer
    x = 288,864.79

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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.