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Finding the Fourth Proportional to 387,471.56, 580,969.60 and 150,537.64

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Solution

The fourth proportional to 387,471.56, 580,969.60 and 150,537.64 is: 225,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,471.56 : 580,969.60 = 150,537.64 : x
  2. Step 2: Convert to fraction form
    387,471.56/580,969.60 = 150,537.64/x
  3. Step 3: Cross multiply
    387,471.56x = 580,969.60 × 150,537.64
  4. Step 4: Simplify right side
    387,471.56x = 87,457,792,495.74
  5. Step 5: Solve for x
    x = 87,457,792,495.74/387,471.56
  6. Step 6: Final answer
    x = 225,714.09

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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.