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Finding the Fourth Proportional to 668,123.60, 1,002,415.80 and 294,414.80

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Solution

The fourth proportional to 668,123.60, 1,002,415.80 and 294,414.80 is: 441,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,123.60 : 1,002,415.80 = 294,414.80 : x
  2. Step 2: Convert to fraction form
    668,123.60/1,002,415.80 = 294,414.80/x
  3. Step 3: Cross multiply
    668,123.60x = 1,002,415.80 × 294,414.80
  4. Step 4: Simplify right side
    668,123.60x = 295,126,047,273.84
  5. Step 5: Solve for x
    x = 295,126,047,273.84/668,123.60
  6. Step 6: Final answer
    x = 441,723.73

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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.