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Finding the Fourth Proportional to 418,185.64, 627,301.86 and 133,901.20

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Solution

The fourth proportional to 418,185.64, 627,301.86 and 133,901.20 is: 200,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,185.64 : 627,301.86 = 133,901.20 : x
  2. Step 2: Convert to fraction form
    418,185.64/627,301.86 = 133,901.20/x
  3. Step 3: Cross multiply
    418,185.64x = 627,301.86 × 133,901.20
  4. Step 4: Simplify right side
    418,185.64x = 83,996,471,816.23
  5. Step 5: Solve for x
    x = 83,996,471,816.23/418,185.64
  6. Step 6: Final answer
    x = 200,859.29

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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.