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Finding the Fourth Proportional to 394,378.40, 591,567.60 and 288,624.80

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Solution

The fourth proportional to 394,378.40, 591,567.60 and 288,624.80 is: 432,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,378.40 : 591,567.60 = 288,624.80 : x
  2. Step 2: Convert to fraction form
    394,378.40/591,567.60 = 288,624.80/x
  3. Step 3: Cross multiply
    394,378.40x = 591,567.60 × 288,624.80
  4. Step 4: Simplify right side
    394,378.40x = 170,741,080,236.48
  5. Step 5: Solve for x
    x = 170,741,080,236.48/394,378.40
  6. Step 6: Final answer
    x = 432,937.20

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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.