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Finding the Fourth Proportional to 387,091.90, 580,411.86 and 150,157.72

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Solution

The fourth proportional to 387,091.90, 580,411.86 and 150,157.72 is: 225,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,091.90 : 580,411.86 = 150,157.72 : x
  2. Step 2: Convert to fraction form
    387,091.90/580,411.86 = 150,157.72/x
  3. Step 3: Cross multiply
    387,091.90x = 580,411.86 × 150,157.72
  4. Step 4: Simplify right side
    387,091.90x = 87,153,321,558.56
  5. Step 5: Solve for x
    x = 87,153,321,558.56/387,091.90
  6. Step 6: Final answer
    x = 225,148.92

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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.