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Finding the Fourth Proportional to 404,500,992.88, 558,207,396.12 and 218,857,935.28

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Solution

The fourth proportional to 404,500,992.88, 558,207,396.12 and 218,857,935.28 is: 302,021,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,500,992.88 : 558,207,396.12 = 218,857,935.28 : x
  2. Step 2: Convert to fraction form
    404,500,992.88/558,207,396.12 = 218,857,935.28/x
  3. Step 3: Cross multiply
    404,500,992.88x = 558,207,396.12 × 218,857,935.28
  4. Step 4: Simplify right side
    404,500,992.88x = 122,168,118,172,848,288
  5. Step 5: Solve for x
    x = 122,168,118,172,848,288/404,500,992.88
  6. Step 6: Final answer
    x = 302,021,800.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.