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Finding the Fourth Proportional to 402,408,136.80, 603,612,205.20 and 376,898,968.80

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Solution

The fourth proportional to 402,408,136.80, 603,612,205.20 and 376,898,968.80 is: 565,348,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408,136.80 : 603,612,205.20 = 376,898,968.80 : x
  2. Step 2: Convert to fraction form
    402,408,136.80/603,612,205.20 = 376,898,968.80/x
  3. Step 3: Cross multiply
    402,408,136.80x = 603,612,205.20 × 376,898,968.80
  4. Step 4: Simplify right side
    402,408,136.80x = 227,500,817,694,974,016
  5. Step 5: Solve for x
    x = 227,500,817,694,974,016/402,408,136.80
  6. Step 6: Final answer
    x = 565,348,453.20

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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.