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Finding the Fourth Proportional to 305,372.94, 457,761.57 and 145,405.89

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Solution

The fourth proportional to 305,372.94, 457,761.57 and 145,405.89 is: 217,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,372.94 : 457,761.57 = 145,405.89 : x
  2. Step 2: Convert to fraction form
    305,372.94/457,761.57 = 145,405.89/x
  3. Step 3: Cross multiply
    305,372.94x = 457,761.57 × 145,405.89
  4. Step 4: Simplify right side
    305,372.94x = 66,561,228,493.65
  5. Step 5: Solve for x
    x = 66,561,228,493.65/305,372.94
  6. Step 6: Final answer
    x = 217,967.02

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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.