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Finding the Fourth Proportional to 538,982.70, 809,139.65 and 339,302.70

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Solution

The fourth proportional to 538,982.70, 809,139.65 and 339,302.70 is: 509,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,982.70 : 809,139.65 = 339,302.70 : x
  2. Step 2: Convert to fraction form
    538,982.70/809,139.65 = 339,302.70/x
  3. Step 3: Cross multiply
    538,982.70x = 809,139.65 × 339,302.70
  4. Step 4: Simplify right side
    538,982.70x = 274,543,267,922.06
  5. Step 5: Solve for x
    x = 274,543,267,922.06/538,982.70
  6. Step 6: Final answer
    x = 509,373.06

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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.