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Finding the Fourth Proportional to 309,099.54, 463,649.31 and 168,781.62

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Solution

The fourth proportional to 309,099.54, 463,649.31 and 168,781.62 is: 253,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,099.54 : 463,649.31 = 168,781.62 : x
  2. Step 2: Convert to fraction form
    309,099.54/463,649.31 = 168,781.62/x
  3. Step 3: Cross multiply
    309,099.54x = 463,649.31 × 168,781.62
  4. Step 4: Simplify right side
    309,099.54x = 78,255,481,653.68
  5. Step 5: Solve for x
    x = 78,255,481,653.68/309,099.54
  6. Step 6: Final answer
    x = 253,172.43

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1.5x scale

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.