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Finding the Fourth Proportional to 1,866,804, 2,800,206 and 537,108

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Solution

The fourth proportional to 1,866,804, 2,800,206 and 537,108 is: 805,662

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,804 : 2,800,206 = 537,108 : x
  2. Step 2: Convert to fraction form
    1,866,804/2,800,206 = 537,108/x
  3. Step 3: Cross multiply
    1,866,804x = 2,800,206 × 537,108
  4. Step 4: Simplify right side
    1,866,804x = 1,504,013,044,248
  5. Step 5: Solve for x
    x = 1,504,013,044,248/1,866,804
  6. Step 6: Final answer
    x = 805,662

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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.