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Finding the Fourth Proportional to 309,743.70, 465,047.55 and 198,114.90

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Solution

The fourth proportional to 309,743.70, 465,047.55 and 198,114.90 is: 297,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,743.70 : 465,047.55 = 198,114.90 : x
  2. Step 2: Convert to fraction form
    309,743.70/465,047.55 = 198,114.90/x
  3. Step 3: Cross multiply
    309,743.70x = 465,047.55 × 198,114.90
  4. Step 4: Simplify right side
    309,743.70x = 92,132,848,863.50
  5. Step 5: Solve for x
    x = 92,132,848,863.50/309,743.70
  6. Step 6: Final answer
    x = 297,448.66

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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.