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Finding the Fourth Proportional to 1,777,642, 2,666,463 and 447,946

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Solution

The fourth proportional to 1,777,642, 2,666,463 and 447,946 is: 671,919

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,642 : 2,666,463 = 447,946 : x
  2. Step 2: Convert to fraction form
    1,777,642/2,666,463 = 447,946/x
  3. Step 3: Cross multiply
    1,777,642x = 2,666,463 × 447,946
  4. Step 4: Simplify right side
    1,777,642x = 1,194,431,434,998
  5. Step 5: Solve for x
    x = 1,194,431,434,998/1,777,642
  6. Step 6: Final answer
    x = 671,919

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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.