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Finding the Fourth Proportional to 418,731.41, 627,728.36 and 166,189.20

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Solution

The fourth proportional to 418,731.41, 627,728.36 and 166,189.20 is: 249,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,731.41 : 627,728.36 = 166,189.20 : x
  2. Step 2: Convert to fraction form
    418,731.41/627,728.36 = 166,189.20/x
  3. Step 3: Cross multiply
    418,731.41x = 627,728.36 × 166,189.20
  4. Step 4: Simplify right side
    418,731.41x = 104,321,673,134.77
  5. Step 5: Solve for x
    x = 104,321,673,134.77/418,731.41
  6. Step 6: Final answer
    x = 249,137.45

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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.