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Finding the Fourth Proportional to 3,105,170, 4,657,755 and 861,308

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Solution

The fourth proportional to 3,105,170, 4,657,755 and 861,308 is: 1,291,962

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,170 : 4,657,755 = 861,308 : x
  2. Step 2: Convert to fraction form
    3,105,170/4,657,755 = 861,308/x
  3. Step 3: Cross multiply
    3,105,170x = 4,657,755 × 861,308
  4. Step 4: Simplify right side
    3,105,170x = 4,011,761,643,540
  5. Step 5: Solve for x
    x = 4,011,761,643,540/3,105,170
  6. Step 6: Final answer
    x = 1,291,962

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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.