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Finding the Fourth Proportional to 415,791.60, 624,263.40 and 266,953.20

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Solution

The fourth proportional to 415,791.60, 624,263.40 and 266,953.20 is: 400,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,791.60 : 624,263.40 = 266,953.20 : x
  2. Step 2: Convert to fraction form
    415,791.60/624,263.40 = 266,953.20/x
  3. Step 3: Cross multiply
    415,791.60x = 624,263.40 × 266,953.20
  4. Step 4: Simplify right side
    415,791.60x = 166,649,112,272.88
  5. Step 5: Solve for x
    x = 166,649,112,272.88/415,791.60
  6. Step 6: Final answer
    x = 400,799.61

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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.