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Finding the Fourth Proportional to 402,080.02, 603,120.39 and 121,597.54

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Solution

The fourth proportional to 402,080.02, 603,120.39 and 121,597.54 is: 182,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,080.02 : 603,120.39 = 121,597.54 : x
  2. Step 2: Convert to fraction form
    402,080.02/603,120.39 = 121,597.54/x
  3. Step 3: Cross multiply
    402,080.02x = 603,120.39 × 121,597.54
  4. Step 4: Simplify right side
    402,080.02x = 73,337,955,747.84
  5. Step 5: Solve for x
    x = 73,337,955,747.84/402,080.02
  6. Step 6: Final answer
    x = 182,396.42

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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.