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Finding the Fourth Proportional to 1,866,834, 2,800,251 and 537,138

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Solution

The fourth proportional to 1,866,834, 2,800,251 and 537,138 is: 805,707

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,834 : 2,800,251 = 537,138 : x
  2. Step 2: Convert to fraction form
    1,866,834/2,800,251 = 537,138/x
  3. Step 3: Cross multiply
    1,866,834x = 2,800,251 × 537,138
  4. Step 4: Simplify right side
    1,866,834x = 1,504,121,221,638
  5. Step 5: Solve for x
    x = 1,504,121,221,638/1,866,834
  6. Step 6: Final answer
    x = 805,707

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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.