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Finding the Fourth Proportional to 329,691,906.30, 494,537,859.45 and 99,631,097.40

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Solution

The fourth proportional to 329,691,906.30, 494,537,859.45 and 99,631,097.40 is: 149,446,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,691,906.30 : 494,537,859.45 = 99,631,097.40 : x
  2. Step 2: Convert to fraction form
    329,691,906.30/494,537,859.45 = 99,631,097.40/x
  3. Step 3: Cross multiply
    329,691,906.30x = 494,537,859.45 × 99,631,097.40
  4. Step 4: Simplify right side
    329,691,906.30x = 49,271,349,642,850,464
  5. Step 5: Solve for x
    x = 49,271,349,642,850,464/329,691,906.30
  6. Step 6: Final answer
    x = 149,446,646.10

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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.