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Finding the Fourth Proportional to 387,195.36, 580,705.44 and 147,223.64

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Solution

The fourth proportional to 387,195.36, 580,705.44 and 147,223.64 is: 220,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,195.36 : 580,705.44 = 147,223.64 : x
  2. Step 2: Convert to fraction form
    387,195.36/580,705.44 = 147,223.64/x
  3. Step 3: Cross multiply
    387,195.36x = 580,705.44 × 147,223.64
  4. Step 4: Simplify right side
    387,195.36x = 85,493,568,644.60
  5. Step 5: Solve for x
    x = 85,493,568,644.60/387,195.36
  6. Step 6: Final answer
    x = 220,802.15

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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.