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Finding the Fourth Proportional to 413,620.20, 620,430.30 and 236,145.15

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Solution

The fourth proportional to 413,620.20, 620,430.30 and 236,145.15 is: 354,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,620.20 : 620,430.30 = 236,145.15 : x
  2. Step 2: Convert to fraction form
    413,620.20/620,430.30 = 236,145.15/x
  3. Step 3: Cross multiply
    413,620.20x = 620,430.30 × 236,145.15
  4. Step 4: Simplify right side
    413,620.20x = 146,511,606,258.05
  5. Step 5: Solve for x
    x = 146,511,606,258.05/413,620.20
  6. Step 6: Final answer
    x = 354,217.73

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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.