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Finding the Fourth Proportional to 419,904,425.90, 629,856,638.85 and 366,156,713.90

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Solution

The fourth proportional to 419,904,425.90, 629,856,638.85 and 366,156,713.90 is: 549,235,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,425.90 : 629,856,638.85 = 366,156,713.90 : x
  2. Step 2: Convert to fraction form
    419,904,425.90/629,856,638.85 = 366,156,713.90/x
  3. Step 3: Cross multiply
    419,904,425.90x = 629,856,638.85 × 366,156,713.90
  4. Step 4: Simplify right side
    419,904,425.90x = 230,626,237,109,415,072
  5. Step 5: Solve for x
    x = 230,626,237,109,415,072/419,904,425.90
  6. Step 6: Final answer
    x = 549,235,070.85

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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.