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Finding the Fourth Proportional to 393,855.81, 590,907.64 and 140,963.88

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Solution

The fourth proportional to 393,855.81, 590,907.64 and 140,963.88 is: 211,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,855.81 : 590,907.64 = 140,963.88 : x
  2. Step 2: Convert to fraction form
    393,855.81/590,907.64 = 140,963.88/x
  3. Step 3: Cross multiply
    393,855.81x = 590,907.64 × 140,963.88
  4. Step 4: Simplify right side
    393,855.81x = 83,296,633,656.04
  5. Step 5: Solve for x
    x = 83,296,633,656.04/393,855.81
  6. Step 6: Final answer
    x = 211,490.17

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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.