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Finding the Fourth Proportional to 402,419.42, 603,253.92 and 135,993.62

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Solution

The fourth proportional to 402,419.42, 603,253.92 and 135,993.62 is: 203,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,419.42 : 603,253.92 = 135,993.62 : x
  2. Step 2: Convert to fraction form
    402,419.42/603,253.92 = 135,993.62/x
  3. Step 3: Cross multiply
    402,419.42x = 603,253.92 × 135,993.62
  4. Step 4: Simplify right side
    402,419.42x = 82,038,684,359.99
  5. Step 5: Solve for x
    x = 82,038,684,359.99/402,419.42
  6. Step 6: Final answer
    x = 203,863.63

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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.