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Finding the Fourth Proportional to 539,677.72, 809,368.78 and 202,692.30

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Solution

The fourth proportional to 539,677.72, 809,368.78 and 202,692.30 is: 303,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,677.72 : 809,368.78 = 202,692.30 : x
  2. Step 2: Convert to fraction form
    539,677.72/809,368.78 = 202,692.30/x
  3. Step 3: Cross multiply
    539,677.72x = 809,368.78 × 202,692.30
  4. Step 4: Simplify right side
    539,677.72x = 164,052,819,566.39
  5. Step 5: Solve for x
    x = 164,052,819,566.39/539,677.72
  6. Step 6: Final answer
    x = 303,982.94

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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.