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Finding the Fourth Proportional to 1,107,414, 1,661,398.44 and 319,446

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Solution

The fourth proportional to 1,107,414, 1,661,398.44 and 319,446 is: 479,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,414 : 1,661,398.44 = 319,446 : x
  2. Step 2: Convert to fraction form
    1,107,414/1,661,398.44 = 319,446/x
  3. Step 3: Cross multiply
    1,107,414x = 1,661,398.44 × 319,446
  4. Step 4: Simplify right side
    1,107,414x = 530,727,086,064.24
  5. Step 5: Solve for x
    x = 530,727,086,064.24/1,107,414
  6. Step 6: Final answer
    x = 479,249.03

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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.