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Finding the Fourth Proportional to 408,985.63, 613,469.45 and 109,466.18

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Solution

The fourth proportional to 408,985.63, 613,469.45 and 109,466.18 is: 164,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,985.63 : 613,469.45 = 109,466.18 : x
  2. Step 2: Convert to fraction form
    408,985.63/613,469.45 = 109,466.18/x
  3. Step 3: Cross multiply
    408,985.63x = 613,469.45 × 109,466.18
  4. Step 4: Simplify right side
    408,985.63x = 67,154,159,580.05
  5. Step 5: Solve for x
    x = 67,154,159,580.05/408,985.63
  6. Step 6: Final answer
    x = 164,196.87

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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.