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Finding the Fourth Proportional to 252,021.60, 377,643.60 and 218,584.80

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Solution

The fourth proportional to 252,021.60, 377,643.60 and 218,584.80 is: 327,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,021.60 : 377,643.60 = 218,584.80 : x
  2. Step 2: Convert to fraction form
    252,021.60/377,643.60 = 218,584.80/x
  3. Step 3: Cross multiply
    252,021.60x = 377,643.60 × 218,584.80
  4. Step 4: Simplify right side
    252,021.60x = 82,547,150,777.28
  5. Step 5: Solve for x
    x = 82,547,150,777.28/252,021.60
  6. Step 6: Final answer
    x = 327,539.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.