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Finding the Fourth Proportional to 418,626,863.84, 627,892,462.56 and 111,942,892.64

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Solution

The fourth proportional to 418,626,863.84, 627,892,462.56 and 111,942,892.64 is: 167,901,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,626,863.84 : 627,892,462.56 = 111,942,892.64 : x
  2. Step 2: Convert to fraction form
    418,626,863.84/627,892,462.56 = 111,942,892.64/x
  3. Step 3: Cross multiply
    418,626,863.84x = 627,892,462.56 × 111,942,892.64
  4. Step 4: Simplify right side
    418,626,863.84x = 70,288,098,525,819,296
  5. Step 5: Solve for x
    x = 70,288,098,525,819,296/418,626,863.84
  6. Step 6: Final answer
    x = 167,901,548.13

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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.