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Finding the Fourth Proportional to 309,640.40, 463,769.40 and 254,344.40

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Solution

The fourth proportional to 309,640.40, 463,769.40 and 254,344.40 is: 380,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,640.40 : 463,769.40 = 254,344.40 : x
  2. Step 2: Convert to fraction form
    309,640.40/463,769.40 = 254,344.40/x
  3. Step 3: Cross multiply
    309,640.40x = 463,769.40 × 254,344.40
  4. Step 4: Simplify right side
    309,640.40x = 117,957,149,781.36
  5. Step 5: Solve for x
    x = 117,957,149,781.36/309,640.40
  6. Step 6: Final answer
    x = 380,948.84

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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.