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Finding the Fourth Proportional to 1,859,714, 2,789,571 and 458,882

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Solution

The fourth proportional to 1,859,714, 2,789,571 and 458,882 is: 688,323

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859,714 : 2,789,571 = 458,882 : x
  2. Step 2: Convert to fraction form
    1,859,714/2,789,571 = 458,882/x
  3. Step 3: Cross multiply
    1,859,714x = 2,789,571 × 458,882
  4. Step 4: Simplify right side
    1,859,714x = 1,280,083,919,622
  5. Step 5: Solve for x
    x = 1,280,083,919,622/1,859,714
  6. Step 6: Final answer
    x = 688,323

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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.