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Finding the Fourth Proportional to 413,744.20, 620,616.30 and 203,792.20

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Solution

The fourth proportional to 413,744.20, 620,616.30 and 203,792.20 is: 305,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,744.20 : 620,616.30 = 203,792.20 : x
  2. Step 2: Convert to fraction form
    413,744.20/620,616.30 = 203,792.20/x
  3. Step 3: Cross multiply
    413,744.20x = 620,616.30 × 203,792.20
  4. Step 4: Simplify right side
    413,744.20x = 126,476,761,132.86
  5. Step 5: Solve for x
    x = 126,476,761,132.86/413,744.20
  6. Step 6: Final answer
    x = 305,688.30

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1.5x scale

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.