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Finding the Fourth Proportional to 645,666.59, 967,613.92 and 408,584.86

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Solution

The fourth proportional to 645,666.59, 967,613.92 and 408,584.86 is: 612,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,666.59 : 967,613.92 = 408,584.86 : x
  2. Step 2: Convert to fraction form
    645,666.59/967,613.92 = 408,584.86/x
  3. Step 3: Cross multiply
    645,666.59x = 967,613.92 × 408,584.86
  4. Step 4: Simplify right side
    645,666.59x = 395,352,394,596.75
  5. Step 5: Solve for x
    x = 395,352,394,596.75/645,666.59
  6. Step 6: Final answer
    x = 612,316.63

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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.