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Finding the Fourth Proportional to 538,489,213.90, 807,733,820.85 and 334,247,908.30

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Solution

The fourth proportional to 538,489,213.90, 807,733,820.85 and 334,247,908.30 is: 501,371,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,489,213.90 : 807,733,820.85 = 334,247,908.30 : x
  2. Step 2: Convert to fraction form
    538,489,213.90/807,733,820.85 = 334,247,908.30/x
  3. Step 3: Cross multiply
    538,489,213.90x = 807,733,820.85 × 334,247,908.30
  4. Step 4: Simplify right side
    538,489,213.90x = 269,983,340,082,279,456
  5. Step 5: Solve for x
    x = 269,983,340,082,279,456/538,489,213.90
  6. Step 6: Final answer
    x = 501,371,862.45

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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.