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Finding the Fourth Proportional to 445,066, 667,682.70 and 178,847.62

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Solution

The fourth proportional to 445,066, 667,682.70 and 178,847.62 is: 268,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,066 : 667,682.70 = 178,847.62 : x
  2. Step 2: Convert to fraction form
    445,066/667,682.70 = 178,847.62/x
  3. Step 3: Cross multiply
    445,066x = 667,682.70 × 178,847.62
  4. Step 4: Simplify right side
    445,066x = 119,413,461,810.17
  5. Step 5: Solve for x
    x = 119,413,461,810.17/445,066
  6. Step 6: Final answer
    x = 268,305.06

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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.