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Finding the Fourth Proportional to 402,609.51, 603,764.82 and 118,221.75

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Solution

The fourth proportional to 402,609.51, 603,764.82 and 118,221.75 is: 177,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,609.51 : 603,764.82 = 118,221.75 : x
  2. Step 2: Convert to fraction form
    402,609.51/603,764.82 = 118,221.75/x
  3. Step 3: Cross multiply
    402,609.51x = 603,764.82 × 118,221.75
  4. Step 4: Simplify right side
    402,609.51x = 71,378,133,608.84
  5. Step 5: Solve for x
    x = 71,378,133,608.84/402,609.51
  6. Step 6: Final answer
    x = 177,288.74

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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.