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Finding the Fourth Proportional to 405,397.32, 608,195.09 and 285,687.78

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Solution

The fourth proportional to 405,397.32, 608,195.09 and 285,687.78 is: 428,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,397.32 : 608,195.09 = 285,687.78 : x
  2. Step 2: Convert to fraction form
    405,397.32/608,195.09 = 285,687.78/x
  3. Step 3: Cross multiply
    405,397.32x = 608,195.09 × 285,687.78
  4. Step 4: Simplify right side
    405,397.32x = 173,753,905,069.00
  5. Step 5: Solve for x
    x = 173,753,905,069.00/405,397.32
  6. Step 6: Final answer
    x = 428,601.51

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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.