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Finding the Fourth Proportional to 309,877.14, 465,012.34 and 132,385.49

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Solution

The fourth proportional to 309,877.14, 465,012.34 and 132,385.49 is: 198,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,877.14 : 465,012.34 = 132,385.49 : x
  2. Step 2: Convert to fraction form
    309,877.14/465,012.34 = 132,385.49/x
  3. Step 3: Cross multiply
    309,877.14x = 465,012.34 × 132,385.49
  4. Step 4: Simplify right side
    309,877.14x = 61,560,883,830.92
  5. Step 5: Solve for x
    x = 61,560,883,830.92/309,877.14
  6. Step 6: Final answer
    x = 198,662.23

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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.