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Finding the Fourth Proportional to 3,104,982, 4,657,473 and 861,120

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Solution

The fourth proportional to 3,104,982, 4,657,473 and 861,120 is: 1,291,680

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104,982 : 4,657,473 = 861,120 : x
  2. Step 2: Convert to fraction form
    3,104,982/4,657,473 = 861,120/x
  3. Step 3: Cross multiply
    3,104,982x = 4,657,473 × 861,120
  4. Step 4: Simplify right side
    3,104,982x = 4,010,643,149,760
  5. Step 5: Solve for x
    x = 4,010,643,149,760/3,104,982
  6. Step 6: Final answer
    x = 1,291,680

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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.