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Finding the Fourth Proportional to 408,522.94, 612,784.47 and 109,004.64

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Solution

The fourth proportional to 408,522.94, 612,784.47 and 109,004.64 is: 163,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,522.94 : 612,784.47 = 109,004.64 : x
  2. Step 2: Convert to fraction form
    408,522.94/612,784.47 = 109,004.64/x
  3. Step 3: Cross multiply
    408,522.94x = 612,784.47 × 109,004.64
  4. Step 4: Simplify right side
    408,522.94x = 66,796,348,660.77
  5. Step 5: Solve for x
    x = 66,796,348,660.77/408,522.94
  6. Step 6: Final answer
    x = 163,506.97

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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.