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Finding the Fourth Proportional to 338,202.68, 465,657.44 and 287,109.50

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Solution

The fourth proportional to 338,202.68, 465,657.44 and 287,109.50 is: 395,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,202.68 : 465,657.44 = 287,109.50 : x
  2. Step 2: Convert to fraction form
    338,202.68/465,657.44 = 287,109.50/x
  3. Step 3: Cross multiply
    338,202.68x = 465,657.44 × 287,109.50
  4. Step 4: Simplify right side
    338,202.68x = 133,694,674,769.68
  5. Step 5: Solve for x
    x = 133,694,674,769.68/338,202.68
  6. Step 6: Final answer
    x = 395,309.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.