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Finding the Fourth Proportional to 539,658.32, 809,996.04 and 397,068.84

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Solution

The fourth proportional to 539,658.32, 809,996.04 and 397,068.84 is: 595,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,658.32 : 809,996.04 = 397,068.84 : x
  2. Step 2: Convert to fraction form
    539,658.32/809,996.04 = 397,068.84/x
  3. Step 3: Cross multiply
    539,658.32x = 809,996.04 × 397,068.84
  4. Step 4: Simplify right side
    539,658.32x = 321,624,188,007.39
  5. Step 5: Solve for x
    x = 321,624,188,007.39/539,658.32
  6. Step 6: Final answer
    x = 595,977.45

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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.