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Finding the Fourth Proportional to 269,136,803.20, 403,705,204.80 and 165,824,672.80

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Solution

The fourth proportional to 269,136,803.20, 403,705,204.80 and 165,824,672.80 is: 248,737,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,136,803.20 : 403,705,204.80 = 165,824,672.80 : x
  2. Step 2: Convert to fraction form
    269,136,803.20/403,705,204.80 = 165,824,672.80/x
  3. Step 3: Cross multiply
    269,136,803.20x = 403,705,204.80 × 165,824,672.80
  4. Step 4: Simplify right side
    269,136,803.20x = 66,944,283,493,617,000
  5. Step 5: Solve for x
    x = 66,944,283,493,617,000/269,136,803.20
  6. Step 6: Final answer
    x = 248,737,009.20

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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.