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Finding the Fourth Proportional to 324,419.76, 444,447.68 and 312,290.46

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Solution

The fourth proportional to 324,419.76, 444,447.68 and 312,290.46 is: 427,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,419.76 : 444,447.68 = 312,290.46 : x
  2. Step 2: Convert to fraction form
    324,419.76/444,447.68 = 312,290.46/x
  3. Step 3: Cross multiply
    324,419.76x = 444,447.68 × 312,290.46
  4. Step 4: Simplify right side
    324,419.76x = 138,796,768,871.68
  5. Step 5: Solve for x
    x = 138,796,768,871.68/324,419.76
  6. Step 6: Final answer
    x = 427,830.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.