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Finding the Fourth Proportional to 2,357,586, 3,536,379 and 861,678

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Solution

The fourth proportional to 2,357,586, 3,536,379 and 861,678 is: 1,292,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,586 : 3,536,379 = 861,678 : x
  2. Step 2: Convert to fraction form
    2,357,586/3,536,379 = 861,678/x
  3. Step 3: Cross multiply
    2,357,586x = 3,536,379 × 861,678
  4. Step 4: Simplify right side
    2,357,586x = 3,047,219,983,962
  5. Step 5: Solve for x
    x = 3,047,219,983,962/2,357,586
  6. Step 6: Final answer
    x = 1,292,517

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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.