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Finding the Fourth Proportional to 309,687.06, 464,529.60 and 85,047.72

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Solution

The fourth proportional to 309,687.06, 464,529.60 and 85,047.72 is: 127,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,687.06 : 464,529.60 = 85,047.72 : x
  2. Step 2: Convert to fraction form
    309,687.06/464,529.60 = 85,047.72/x
  3. Step 3: Cross multiply
    309,687.06x = 464,529.60 × 85,047.72
  4. Step 4: Simplify right side
    309,687.06x = 39,507,183,352.51
  5. Step 5: Solve for x
    x = 39,507,183,352.51/309,687.06
  6. Step 6: Final answer
    x = 127,571.31

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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.