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Finding the Fourth Proportional to 379,665,213.98, 569,191,349 and 349,019,650.30

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Solution

The fourth proportional to 379,665,213.98, 569,191,349 and 349,019,650.30 is: 523,247,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,665,213.98 : 569,191,349 = 349,019,650.30 : x
  2. Step 2: Convert to fraction form
    379,665,213.98/569,191,349 = 349,019,650.30/x
  3. Step 3: Cross multiply
    379,665,213.98x = 569,191,349 × 349,019,650.30
  4. Step 4: Simplify right side
    379,665,213.98x = 198,658,965,581,765,248
  5. Step 5: Solve for x
    x = 198,658,965,581,765,248/379,665,213.98
  6. Step 6: Final answer
    x = 523,247,741.08

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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.