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Finding the Fourth Proportional to 478,805,309.82, 718,238,307.90 and 202,405,010.88

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Solution

The fourth proportional to 478,805,309.82, 718,238,307.90 and 202,405,010.88 is: 303,620,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,805,309.82 : 718,238,307.90 = 202,405,010.88 : x
  2. Step 2: Convert to fraction form
    478,805,309.82/718,238,307.90 = 202,405,010.88/x
  3. Step 3: Cross multiply
    478,805,309.82x = 718,238,307.90 × 202,405,010.88
  4. Step 4: Simplify right side
    478,805,309.82x = 145,375,032,524,932,288
  5. Step 5: Solve for x
    x = 145,375,032,524,932,288/478,805,309.82
  6. Step 6: Final answer
    x = 303,620,343.27

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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.