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Finding the Fourth Proportional to 387,090.90, 580,410.36 and 150,156.72

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Solution

The fourth proportional to 387,090.90, 580,410.36 and 150,156.72 is: 225,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,090.90 : 580,410.36 = 150,156.72 : x
  2. Step 2: Convert to fraction form
    387,090.90/580,410.36 = 150,156.72/x
  3. Step 3: Cross multiply
    387,090.90x = 580,410.36 × 150,156.72
  4. Step 4: Simplify right side
    387,090.90x = 87,152,515,911.62
  5. Step 5: Solve for x
    x = 87,152,515,911.62/387,090.90
  6. Step 6: Final answer
    x = 225,147.42

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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.