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Finding the Fourth Proportional to 391,338.48, 587,097.36 and 142,020.48

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Solution

The fourth proportional to 391,338.48, 587,097.36 and 142,020.48 is: 213,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,338.48 : 587,097.36 = 142,020.48 : x
  2. Step 2: Convert to fraction form
    391,338.48/587,097.36 = 142,020.48/x
  3. Step 3: Cross multiply
    391,338.48x = 587,097.36 × 142,020.48
  4. Step 4: Simplify right side
    391,338.48x = 83,379,848,873.93
  5. Step 5: Solve for x
    x = 83,379,848,873.93/391,338.48
  6. Step 6: Final answer
    x = 213,063.25

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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.