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Finding the Fourth Proportional to 387,170.64, 580,507.92 and 150,318.72

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Solution

The fourth proportional to 387,170.64, 580,507.92 and 150,318.72 is: 225,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,170.64 : 580,507.92 = 150,318.72 : x
  2. Step 2: Convert to fraction form
    387,170.64/580,507.92 = 150,318.72/x
  3. Step 3: Cross multiply
    387,170.64x = 580,507.92 × 150,318.72
  4. Step 4: Simplify right side
    387,170.64x = 87,261,207,484.26
  5. Step 5: Solve for x
    x = 87,261,207,484.26/387,170.64
  6. Step 6: Final answer
    x = 225,381.78

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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.