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Finding the Fourth Proportional to 387,097.90, 580,420.86 and 150,163.72

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Solution

The fourth proportional to 387,097.90, 580,420.86 and 150,163.72 is: 225,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,097.90 : 580,420.86 = 150,163.72 : x
  2. Step 2: Convert to fraction form
    387,097.90/580,420.86 = 150,163.72/x
  3. Step 3: Cross multiply
    387,097.90x = 580,420.86 × 150,163.72
  4. Step 4: Simplify right side
    387,097.90x = 87,158,155,503.20
  5. Step 5: Solve for x
    x = 87,158,155,503.20/387,097.90
  6. Step 6: Final answer
    x = 225,157.91

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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.