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Finding the Fourth Proportional to 391,975.08, 587,960.46 and 142,657.08

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Solution

The fourth proportional to 391,975.08, 587,960.46 and 142,657.08 is: 213,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,975.08 : 587,960.46 = 142,657.08 : x
  2. Step 2: Convert to fraction form
    391,975.08/587,960.46 = 142,657.08/x
  3. Step 3: Cross multiply
    391,975.08x = 587,960.46 × 142,657.08
  4. Step 4: Simplify right side
    391,975.08x = 83,876,722,379.06
  5. Step 5: Solve for x
    x = 83,876,722,379.06/391,975.08
  6. Step 6: Final answer
    x = 213,984.83

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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.