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Finding the Fourth Proportional to 387,956.25, 535,379.63 and 218,194.02

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Solution

The fourth proportional to 387,956.25, 535,379.63 and 218,194.02 is: 301,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,956.25 : 535,379.63 = 218,194.02 : x
  2. Step 2: Convert to fraction form
    387,956.25/535,379.63 = 218,194.02/x
  3. Step 3: Cross multiply
    387,956.25x = 535,379.63 × 218,194.02
  4. Step 4: Simplify right side
    387,956.25x = 116,816,632,604.84
  5. Step 5: Solve for x
    x = 116,816,632,604.84/387,956.25
  6. Step 6: Final answer
    x = 301,107.75

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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.