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Finding the Fourth Proportional to 408,087, 612,165.78 and 112,599

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Solution

The fourth proportional to 408,087, 612,165.78 and 112,599 is: 168,908.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,087 : 612,165.78 = 112,599 : x
  2. Step 2: Convert to fraction form
    408,087/612,165.78 = 112,599/x
  3. Step 3: Cross multiply
    408,087x = 612,165.78 × 112,599
  4. Step 4: Simplify right side
    408,087x = 68,929,254,662.22
  5. Step 5: Solve for x
    x = 68,929,254,662.22/408,087
  6. Step 6: Final answer
    x = 168,908.23

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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.