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Finding the Fourth Proportional to 309,884.63, 465,023.57 and 132,392.97

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Solution

The fourth proportional to 309,884.63, 465,023.57 and 132,392.97 is: 198,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,884.63 : 465,023.57 = 132,392.97 : x
  2. Step 2: Convert to fraction form
    309,884.63/465,023.57 = 132,392.97/x
  3. Step 3: Cross multiply
    309,884.63x = 465,023.57 × 132,392.97
  4. Step 4: Simplify right side
    309,884.63x = 61,565,850,890.34
  5. Step 5: Solve for x
    x = 61,565,850,890.34/309,884.63
  6. Step 6: Final answer
    x = 198,673.46

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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.