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Finding the Fourth Proportional to 807,829.94, 1,211,991 and 381,692.96

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Solution

The fourth proportional to 807,829.94, 1,211,991 and 381,692.96 is: 572,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,829.94 : 1,211,991 = 381,692.96 : x
  2. Step 2: Convert to fraction form
    807,829.94/1,211,991 = 381,692.96/x
  3. Step 3: Cross multiply
    807,829.94x = 1,211,991 × 381,692.96
  4. Step 4: Simplify right side
    807,829.94x = 462,608,432,283.36
  5. Step 5: Solve for x
    x = 462,608,432,283.36/807,829.94
  6. Step 6: Final answer
    x = 572,655.72

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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.