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Finding the Fourth Proportional to 395,399.40, 591,716.70 and 362,221.80

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Solution

The fourth proportional to 395,399.40, 591,716.70 and 362,221.80 is: 542,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,399.40 : 591,716.70 = 362,221.80 : x
  2. Step 2: Convert to fraction form
    395,399.40/591,716.70 = 362,221.80/x
  3. Step 3: Cross multiply
    395,399.40x = 591,716.70 × 362,221.80
  4. Step 4: Simplify right side
    395,399.40x = 214,332,688,164.06
  5. Step 5: Solve for x
    x = 214,332,688,164.06/395,399.40
  6. Step 6: Final answer
    x = 542,066.30

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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.