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Finding the Fourth Proportional to 394,492.80, 591,350.40 and 194,649.60

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Solution

The fourth proportional to 394,492.80, 591,350.40 and 194,649.60 is: 291,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,492.80 : 591,350.40 = 194,649.60 : x
  2. Step 2: Convert to fraction form
    394,492.80/591,350.40 = 194,649.60/x
  3. Step 3: Cross multiply
    394,492.80x = 591,350.40 × 194,649.60
  4. Step 4: Simplify right side
    394,492.80x = 115,106,118,819.84
  5. Step 5: Solve for x
    x = 115,106,118,819.84/394,492.80
  6. Step 6: Final answer
    x = 291,782.56

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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.