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Finding the Fourth Proportional to 445,711.74, 668,496.16 and 142,066.44

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Solution

The fourth proportional to 445,711.74, 668,496.16 and 142,066.44 is: 213,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,711.74 : 668,496.16 = 142,066.44 : x
  2. Step 2: Convert to fraction form
    445,711.74/668,496.16 = 142,066.44/x
  3. Step 3: Cross multiply
    445,711.74x = 668,496.16 × 142,066.44
  4. Step 4: Simplify right side
    445,711.74x = 94,970,869,604.87
  5. Step 5: Solve for x
    x = 94,970,869,604.87/445,711.74
  6. Step 6: Final answer
    x = 213,076.89

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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.