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Finding the Fourth Proportional to 400,820.55, 601,238.49 and 130,949.43

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Solution

The fourth proportional to 400,820.55, 601,238.49 and 130,949.43 is: 196,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,820.55 : 601,238.49 = 130,949.43 : x
  2. Step 2: Convert to fraction form
    400,820.55/601,238.49 = 130,949.43/x
  3. Step 3: Cross multiply
    400,820.55x = 601,238.49 × 130,949.43
  4. Step 4: Simplify right side
    400,820.55x = 78,731,836,480.64
  5. Step 5: Solve for x
    x = 78,731,836,480.64/400,820.55
  6. Step 6: Final answer
    x = 196,426.65

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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.