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Finding the Fourth Proportional to 402,120.40, 603,161.40 and 135,854.80

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Solution

The fourth proportional to 402,120.40, 603,161.40 and 135,854.80 is: 203,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,120.40 : 603,161.40 = 135,854.80 : x
  2. Step 2: Convert to fraction form
    402,120.40/603,161.40 = 135,854.80/x
  3. Step 3: Cross multiply
    402,120.40x = 603,161.40 × 135,854.80
  4. Step 4: Simplify right side
    402,120.40x = 81,942,371,364.72
  5. Step 5: Solve for x
    x = 81,942,371,364.72/402,120.40
  6. Step 6: Final answer
    x = 203,775.71

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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.