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Finding the Fourth Proportional to 413,622.20, 620,433.30 and 203,670.20

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Solution

The fourth proportional to 413,622.20, 620,433.30 and 203,670.20 is: 305,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,622.20 : 620,433.30 = 203,670.20 : x
  2. Step 2: Convert to fraction form
    413,622.20/620,433.30 = 203,670.20/x
  3. Step 3: Cross multiply
    413,622.20x = 620,433.30 × 203,670.20
  4. Step 4: Simplify right side
    413,622.20x = 126,363,774,297.66
  5. Step 5: Solve for x
    x = 126,363,774,297.66/413,622.20
  6. Step 6: Final answer
    x = 305,505.30

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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.