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Finding the Fourth Proportional to 409,348.49, 560,809.37 and 394,007.90

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Solution

The fourth proportional to 409,348.49, 560,809.37 and 394,007.90 is: 539,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,348.49 : 560,809.37 = 394,007.90 : x
  2. Step 2: Convert to fraction form
    409,348.49/560,809.37 = 394,007.90/x
  3. Step 3: Cross multiply
    409,348.49x = 560,809.37 × 394,007.90
  4. Step 4: Simplify right side
    409,348.49x = 220,963,320,355.00
  5. Step 5: Solve for x
    x = 220,963,320,355.00/409,348.49
  6. Step 6: Final answer
    x = 539,792.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.