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Finding the Fourth Proportional to 402,149.94, 603,311.73 and 135,904.56

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Solution

The fourth proportional to 402,149.94, 603,311.73 and 135,904.56 is: 203,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,149.94 : 603,311.73 = 135,904.56 : x
  2. Step 2: Convert to fraction form
    402,149.94/603,311.73 = 135,904.56/x
  3. Step 3: Cross multiply
    402,149.94x = 603,311.73 × 135,904.56
  4. Step 4: Simplify right side
    402,149.94x = 81,992,815,208.49
  5. Step 5: Solve for x
    x = 81,992,815,208.49/402,149.94
  6. Step 6: Final answer
    x = 203,886.18

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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.