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Finding the Fourth Proportional to 309,796.45, 464,699.80 and 85,155.50

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Solution

The fourth proportional to 309,796.45, 464,699.80 and 85,155.50 is: 127,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,796.45 : 464,699.80 = 85,155.50 : x
  2. Step 2: Convert to fraction form
    309,796.45/464,699.80 = 85,155.50/x
  3. Step 3: Cross multiply
    309,796.45x = 464,699.80 × 85,155.50
  4. Step 4: Simplify right side
    309,796.45x = 39,571,745,087.09
  5. Step 5: Solve for x
    x = 39,571,745,087.09/309,796.45
  6. Step 6: Final answer
    x = 127,734.66

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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.