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Finding the Fourth Proportional to 603,921.64, 905,858.80 and 204,562.40

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Solution

The fourth proportional to 603,921.64, 905,858.80 and 204,562.40 is: 306,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,921.64 : 905,858.80 = 204,562.40 : x
  2. Step 2: Convert to fraction form
    603,921.64/905,858.80 = 204,562.40/x
  3. Step 3: Cross multiply
    603,921.64x = 905,858.80 × 204,562.40
  4. Step 4: Simplify right side
    603,921.64x = 185,304,650,243.88
  5. Step 5: Solve for x
    x = 185,304,650,243.88/603,921.64
  6. Step 6: Final answer
    x = 306,835.59

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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.