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Finding the Fourth Proportional to 402,242.40, 603,185.40 and 135,930.60

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Solution

The fourth proportional to 402,242.40, 603,185.40 and 135,930.60 is: 203,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,242.40 : 603,185.40 = 135,930.60 : x
  2. Step 2: Convert to fraction form
    402,242.40/603,185.40 = 135,930.60/x
  3. Step 3: Cross multiply
    402,242.40x = 603,185.40 × 135,930.60
  4. Step 4: Simplify right side
    402,242.40x = 81,991,353,333.24
  5. Step 5: Solve for x
    x = 81,991,353,333.24/402,242.40
  6. Step 6: Final answer
    x = 203,835.68

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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.