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Finding the Fourth Proportional to 415,992.84, 624,011.94 and 131,662.16

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Solution

The fourth proportional to 415,992.84, 624,011.94 and 131,662.16 is: 197,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,992.84 : 624,011.94 = 131,662.16 : x
  2. Step 2: Convert to fraction form
    415,992.84/624,011.94 = 131,662.16/x
  3. Step 3: Cross multiply
    415,992.84x = 624,011.94 × 131,662.16
  4. Step 4: Simplify right side
    415,992.84x = 82,158,756,766.13
  5. Step 5: Solve for x
    x = 82,158,756,766.13/415,992.84
  6. Step 6: Final answer
    x = 197,500.41

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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.