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Finding the Fourth Proportional to 389,857.56, 584,807.22 and 123,638.28

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Solution

The fourth proportional to 389,857.56, 584,807.22 and 123,638.28 is: 185,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,857.56 : 584,807.22 = 123,638.28 : x
  2. Step 2: Convert to fraction form
    389,857.56/584,807.22 = 123,638.28/x
  3. Step 3: Cross multiply
    389,857.56x = 584,807.22 × 123,638.28
  4. Step 4: Simplify right side
    389,857.56x = 72,304,558,812.38
  5. Step 5: Solve for x
    x = 72,304,558,812.38/389,857.56
  6. Step 6: Final answer
    x = 185,464.04

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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.