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Finding the Fourth Proportional to 394,780.80, 592,171.20 and 268,809.60

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Solution

The fourth proportional to 394,780.80, 592,171.20 and 268,809.60 is: 403,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,780.80 : 592,171.20 = 268,809.60 : x
  2. Step 2: Convert to fraction form
    394,780.80/592,171.20 = 268,809.60/x
  3. Step 3: Cross multiply
    394,780.80x = 592,171.20 × 268,809.60
  4. Step 4: Simplify right side
    394,780.80x = 159,181,303,403.52
  5. Step 5: Solve for x
    x = 159,181,303,403.52/394,780.80
  6. Step 6: Final answer
    x = 403,214.40

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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.