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Finding the Fourth Proportional to 418,732.91, 627,730.61 and 166,190.70

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Solution

The fourth proportional to 418,732.91, 627,730.61 and 166,190.70 is: 249,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,732.91 : 627,730.61 = 166,190.70 : x
  2. Step 2: Convert to fraction form
    418,732.91/627,730.61 = 166,190.70/x
  3. Step 3: Cross multiply
    418,732.91x = 627,730.61 × 166,190.70
  4. Step 4: Simplify right side
    418,732.91x = 104,322,988,656.37
  5. Step 5: Solve for x
    x = 104,322,988,656.37/418,732.91
  6. Step 6: Final answer
    x = 249,139.70

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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.