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Finding the Fourth Proportional to 362,121.40, 499,730.84 and 218,977.12

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Solution

The fourth proportional to 362,121.40, 499,730.84 and 218,977.12 is: 302,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,121.40 : 499,730.84 = 218,977.12 : x
  2. Step 2: Convert to fraction form
    362,121.40/499,730.84 = 218,977.12/x
  3. Step 3: Cross multiply
    362,121.40x = 499,730.84 × 218,977.12
  4. Step 4: Simplify right side
    362,121.40x = 109,429,620,118.38
  5. Step 5: Solve for x
    x = 109,429,620,118.38/362,121.40
  6. Step 6: Final answer
    x = 302,190.43

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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.