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Finding the Fourth Proportional to 309,137.45, 463,728.71 and 95,878.28

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Solution

The fourth proportional to 309,137.45, 463,728.71 and 95,878.28 is: 143,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,137.45 : 463,728.71 = 95,878.28 : x
  2. Step 2: Convert to fraction form
    309,137.45/463,728.71 = 95,878.28/x
  3. Step 3: Cross multiply
    309,137.45x = 463,728.71 × 95,878.28
  4. Step 4: Simplify right side
    309,137.45x = 44,461,512,500.44
  5. Step 5: Solve for x
    x = 44,461,512,500.44/309,137.45
  6. Step 6: Final answer
    x = 143,824.42

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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.