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Finding the Fourth Proportional to 387,097.15, 580,419.74 and 150,162.97

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Solution

The fourth proportional to 387,097.15, 580,419.74 and 150,162.97 is: 225,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,097.15 : 580,419.74 = 150,162.97 : x
  2. Step 2: Convert to fraction form
    387,097.15/580,419.74 = 150,162.97/x
  3. Step 3: Cross multiply
    387,097.15x = 580,419.74 × 150,162.97
  4. Step 4: Simplify right side
    387,097.15x = 87,157,551,254.21
  5. Step 5: Solve for x
    x = 87,157,551,254.21/387,097.15
  6. Step 6: Final answer
    x = 225,156.79

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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.