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Finding the Fourth Proportional to 415,924.60, 624,102.90 and 194,308.60

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Solution

The fourth proportional to 415,924.60, 624,102.90 and 194,308.60 is: 291,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,924.60 : 624,102.90 = 194,308.60 : x
  2. Step 2: Convert to fraction form
    415,924.60/624,102.90 = 194,308.60/x
  3. Step 3: Cross multiply
    415,924.60x = 624,102.90 × 194,308.60
  4. Step 4: Simplify right side
    415,924.60x = 121,268,560,754.94
  5. Step 5: Solve for x
    x = 121,268,560,754.94/415,924.60
  6. Step 6: Final answer
    x = 291,563.81

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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.