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Finding the Fourth Proportional to 386,989.50, 580,335.18 and 150,301.02

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Solution

The fourth proportional to 386,989.50, 580,335.18 and 150,301.02 is: 225,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,989.50 : 580,335.18 = 150,301.02 : x
  2. Step 2: Convert to fraction form
    386,989.50/580,335.18 = 150,301.02/x
  3. Step 3: Cross multiply
    386,989.50x = 580,335.18 × 150,301.02
  4. Step 4: Simplify right side
    386,989.50x = 87,224,969,495.88
  5. Step 5: Solve for x
    x = 87,224,969,495.88/386,989.50
  6. Step 6: Final answer
    x = 225,393.63

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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.