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Finding the Fourth Proportional to 426,643.10, 639,791.85 and 146,015.90

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Solution

The fourth proportional to 426,643.10, 639,791.85 and 146,015.90 is: 218,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,643.10 : 639,791.85 = 146,015.90 : x
  2. Step 2: Convert to fraction form
    426,643.10/639,791.85 = 146,015.90/x
  3. Step 3: Cross multiply
    426,643.10x = 639,791.85 × 146,015.90
  4. Step 4: Simplify right side
    426,643.10x = 93,419,782,790.42
  5. Step 5: Solve for x
    x = 93,419,782,790.42/426,643.10
  6. Step 6: Final answer
    x = 218,964.71

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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.