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Finding the Fourth Proportional to 409,959.20, 614,938.80 and 394,212.80

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Solution

The fourth proportional to 409,959.20, 614,938.80 and 394,212.80 is: 591,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,959.20 : 614,938.80 = 394,212.80 : x
  2. Step 2: Convert to fraction form
    409,959.20/614,938.80 = 394,212.80/x
  3. Step 3: Cross multiply
    409,959.20x = 614,938.80 × 394,212.80
  4. Step 4: Simplify right side
    409,959.20x = 242,416,746,176.64
  5. Step 5: Solve for x
    x = 242,416,746,176.64/409,959.20
  6. Step 6: Final answer
    x = 591,319.20

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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.