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Finding the Fourth Proportional to 409,969.70, 614,954.55 and 394,223.30

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Solution

The fourth proportional to 409,969.70, 614,954.55 and 394,223.30 is: 591,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,969.70 : 614,954.55 = 394,223.30 : x
  2. Step 2: Convert to fraction form
    409,969.70/614,954.55 = 394,223.30/x
  3. Step 3: Cross multiply
    409,969.70x = 614,954.55 × 394,223.30
  4. Step 4: Simplify right side
    409,969.70x = 242,429,412,051.02
  5. Step 5: Solve for x
    x = 242,429,412,051.02/409,969.70
  6. Step 6: Final answer
    x = 591,334.95

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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.