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Finding the Fourth Proportional to 409,451,728.60, 614,177,592.90 and 118,328,348.80

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Solution

The fourth proportional to 409,451,728.60, 614,177,592.90 and 118,328,348.80 is: 177,492,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,451,728.60 : 614,177,592.90 = 118,328,348.80 : x
  2. Step 2: Convert to fraction form
    409,451,728.60/614,177,592.90 = 118,328,348.80/x
  3. Step 3: Cross multiply
    409,451,728.60x = 614,177,592.90 × 118,328,348.80
  4. Step 4: Simplify right side
    409,451,728.60x = 72,674,620,437,815,600
  5. Step 5: Solve for x
    x = 72,674,620,437,815,600/409,451,728.60
  6. Step 6: Final answer
    x = 177,492,523.20

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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.