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Finding the Fourth Proportional to 419,865,638.80, 629,336,563.80 and 147,096,000.40

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Solution

The fourth proportional to 419,865,638.80, 629,336,563.80 and 147,096,000.40 is: 220,482,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,865,638.80 : 629,336,563.80 = 147,096,000.40 : x
  2. Step 2: Convert to fraction form
    419,865,638.80/629,336,563.80 = 147,096,000.40/x
  3. Step 3: Cross multiply
    419,865,638.80x = 629,336,563.80 × 147,096,000.40
  4. Step 4: Simplify right side
    419,865,638.80x = 92,572,891,440,459,424
  5. Step 5: Solve for x
    x = 92,572,891,440,459,424/419,865,638.80
  6. Step 6: Final answer
    x = 220,482,180.22

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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.