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Finding the Fourth Proportional to 396,056.80, 594,085.20 and 218,909.80

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Solution

The fourth proportional to 396,056.80, 594,085.20 and 218,909.80 is: 328,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,056.80 : 594,085.20 = 218,909.80 : x
  2. Step 2: Convert to fraction form
    396,056.80/594,085.20 = 218,909.80/x
  3. Step 3: Cross multiply
    396,056.80x = 594,085.20 × 218,909.80
  4. Step 4: Simplify right side
    396,056.80x = 130,051,072,314.96
  5. Step 5: Solve for x
    x = 130,051,072,314.96/396,056.80
  6. Step 6: Final answer
    x = 328,364.70

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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.