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Finding the Fourth Proportional to 307,226.64, 460,917.72 and 85,610.64

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Solution

The fourth proportional to 307,226.64, 460,917.72 and 85,610.64 is: 128,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,226.64 : 460,917.72 = 85,610.64 : x
  2. Step 2: Convert to fraction form
    307,226.64/460,917.72 = 85,610.64/x
  3. Step 3: Cross multiply
    307,226.64x = 460,917.72 × 85,610.64
  4. Step 4: Simplify right side
    307,226.64x = 39,459,460,996.54
  5. Step 5: Solve for x
    x = 39,459,460,996.54/307,226.64
  6. Step 6: Final answer
    x = 128,437.63

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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.