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Finding the Fourth Proportional to 342,022.31, 513,043.89 and 117,379.48

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Solution

The fourth proportional to 342,022.31, 513,043.89 and 117,379.48 is: 176,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,022.31 : 513,043.89 = 117,379.48 : x
  2. Step 2: Convert to fraction form
    342,022.31/513,043.89 = 117,379.48/x
  3. Step 3: Cross multiply
    342,022.31x = 513,043.89 × 117,379.48
  4. Step 4: Simplify right side
    342,022.31x = 60,220,824,429.62
  5. Step 5: Solve for x
    x = 60,220,824,429.62/342,022.31
  6. Step 6: Final answer
    x = 176,072.80

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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.