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Finding the Fourth Proportional to 3,105,168, 4,657,752 and 861,306

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Solution

The fourth proportional to 3,105,168, 4,657,752 and 861,306 is: 1,291,959

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,168 : 4,657,752 = 861,306 : x
  2. Step 2: Convert to fraction form
    3,105,168/4,657,752 = 861,306/x
  3. Step 3: Cross multiply
    3,105,168x = 4,657,752 × 861,306
  4. Step 4: Simplify right side
    3,105,168x = 4,011,749,744,112
  5. Step 5: Solve for x
    x = 4,011,749,744,112/3,105,168
  6. Step 6: Final answer
    x = 1,291,959

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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.