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Finding the Fourth Proportional to 353,114.44, 529,704.30 and 100,400.20

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Solution

The fourth proportional to 353,114.44, 529,704.30 and 100,400.20 is: 150,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,114.44 : 529,704.30 = 100,400.20 : x
  2. Step 2: Convert to fraction form
    353,114.44/529,704.30 = 100,400.20/x
  3. Step 3: Cross multiply
    353,114.44x = 529,704.30 × 100,400.20
  4. Step 4: Simplify right side
    353,114.44x = 53,182,417,660.86
  5. Step 5: Solve for x
    x = 53,182,417,660.86/353,114.44
  6. Step 6: Final answer
    x = 150,609.58

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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.