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Finding the Fourth Proportional to 850,806.30, 1,275,006.60 and 471,894

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Solution

The fourth proportional to 850,806.30, 1,275,006.60 and 471,894 is: 707,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,806.30 : 1,275,006.60 = 471,894 : x
  2. Step 2: Convert to fraction form
    850,806.30/1,275,006.60 = 471,894/x
  3. Step 3: Cross multiply
    850,806.30x = 1,275,006.60 × 471,894
  4. Step 4: Simplify right side
    850,806.30x = 601,667,964,500.40
  5. Step 5: Solve for x
    x = 601,667,964,500.40/850,806.30
  6. Step 6: Final answer
    x = 707,173.85

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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.